Search a number
-
+
21043156616784 = 2433734159160441
BaseRepresentation
bin1001100100011011111011…
…11000000000011001010000
32202111201001202200012211000
410302031331320000121100
510224232341043214114
6112431032004422000
74301214015663051
oct462157570003120
982451052605730
1021043156616784
116783397352975
12243a37a6a7900
13b984905c0bc3
1452a6cc1a6728
152675aa2b2e09
hex13237de00650

21043156616784 has 160 divisors (see below), whose sum is σ = 61244176947200. Its totient is φ = 6916591503360.

The previous prime is 21043156616767. The next prime is 21043156616809. The reversal of 21043156616784 is 48761665134012.

21043156616784 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 3 + 1 + 566 + 1 + 6 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21043156616784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131078004 + ... + 131238444.

It is an arithmetic number, because the mean of its divisors is an integer number (382776105920).

Almost surely, 221043156616784 is an apocalyptic number.

21043156616784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21043156616784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30622088473600).

21043156616784 is an abundant number, since it is smaller than the sum of its proper divisors (40201020330416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21043156616784 is a wasteful number, since it uses less digits than its factorization.

21043156616784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164690 (or 164678 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 21043156616784 in words is "twenty-one trillion, forty-three billion, one hundred fifty-six million, six hundred sixteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 4159 5256 7884 8318 10512 12477 15768 16636 24954 31536 33272 37431 49908 66544 74862 99816 112293 149724 160441 199632 224586 299448 303607 320882 449172 481323 598896 607214 641764 898344 910821 962646 1214428 1283528 1443969 1796688 1821642 1925292 2428856 2567056 2732463 2887938 3643284 3850584 4331907 4857712 5464926 5775876 7286568 7701168 8197389 8663814 10929852 11551752 11712193 14573136 16394778 17327628 21859704 23103504 23424386 32789556 34655256 35136579 43719408 46848772 65579112 69310512 70273158 93697544 105409737 131158224 140546316 187395088 210819474 281092632 316229211 421638948 562185264 632458422 667274119 843277896 1264916844 1334548238 1686555792 2001822357 2529833688 2669096476 4003644714 5059667376 5338192952 6005467071 8007289428 10676385904 12010934142 16014578856 18016401213 24021868284 32029157712 36032802426 48043736568 48711010687 72065604852 96087473136 97422021374 144131209704 146133032061 194844042748 288262419408 292266064122 389688085496 438399096183 584532128244 779376170992 876798192366 1169064256488 1315197288549 1753596384732 2338128512976 2630394577098 3507192769464 5260789154196 7014385538928 10521578308392 21043156616784