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21151145520 = 2433547920443
BaseRepresentation
bin10011101100101101…
…001101111000110000
32000121001121112001000
4103230231031320300
5321304143124040
613414450242000
71346100525201
oct235455157060
960531545030
1021151145520
118a742a775a
124123586300
131cc102522b
1410491395a8
1583bd56130
hex4ecb4de30

21151145520 has 160 divisors (see below), whose sum is σ = 73009612800. Its totient is φ = 5628254976.

The previous prime is 21151145443. The next prime is 21151145567. The reversal of 21151145520 is 2554115112.

It is a happy number.

21151145520 is a `hidden beast` number, since 21 + 1 + 5 + 114 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024419 + ... + 1044861.

It is an arithmetic number, because the mean of its divisors is an integer number (456310080).

Almost surely, 221151145520 is an apocalyptic number.

21151145520 is a gapful number since it is divisible by the number (20) 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 21151145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504806400).

21151145520 is an abundant number, since it is smaller than the sum of its proper divisors (51858467280).

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

21151145520 is a wasteful number, since it uses less digits than its factorization.

21151145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20944 (or 20932 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 21151145520 in words is "twenty-one billion, one hundred fifty-one million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 479 540 720 958 1080 1437 1916 2160 2395 2874 3832 4311 4790 5748 7185 7664 8622 9580 11496 12933 14370 17244 19160 20443 21555 22992 25866 28740 34488 38320 40886 43110 51732 57480 61329 64665 68976 81772 86220 102215 103464 114960 122658 129330 163544 172440 183987 204430 206928 245316 258660 306645 327088 344880 367974 408860 490632 517320 551961 613290 735948 817720 919935 981264 1034640 1103922 1226580 1471896 1635440 1839870 2207844 2453160 2759805 2943792 3679740 4415688 4906320 5519610 7359480 8831376 9792197 11039220 14718960 19584394 22078440 29376591 39168788 44156880 48960985 58753182 78337576 88129773 97921970 117506364 146882955 156675152 176259546 195843940 235012728 264389319 293765910 352519092 391687880 440648865 470025456 528778638 587531820 705038184 783375760 881297730 1057557276 1175063640 1321946595 1410076368 1762595460 2115114552 2350127280 2643893190 3525190920 4230229104 5287786380 7050381840 10575572760 21151145520