Search a number
-
+
21356676040 = 2357593074211
BaseRepresentation
bin10011111000111101…
…010000001111001000
32001010101100112220111
4103320331100033020
5322214302113130
613451111404104
71354144515430
oct237075201710
961111315814
1021356676040
11906a317897
124180383634
13202479791b
14106855b2c0
1584ee0402a
hex4f8f503c8

21356676040 has 128 divisors (see below), whose sum is σ = 56043187200. Its totient is φ = 7173031680.

The previous prime is 21356675993. The next prime is 21356676041. The reversal of 21356676040 is 4067665312.

It is a super-2 number, since 2×213566760402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21356675984 and 21356676002.

It is not an unprimeable number, because it can be changed into a prime (21356676041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5069535 + ... + 5073745.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 221356676040 is an apocalyptic number.

21356676040 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 21356676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021593600).

21356676040 is an abundant number, since it is smaller than the sum of its proper divisors (34686511160).

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

21356676040 is a wasteful number, since it uses less digits than its factorization.

21356676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 21356676040 in words is "twenty-one billion, three hundred fifty-six million, six hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 307 413 472 590 614 826 1180 1228 1535 1652 2065 2149 2360 2456 3070 3304 4130 4211 4298 6140 8260 8422 8596 10745 12280 16520 16844 17192 18113 21055 21490 29477 33688 36226 42110 42980 58954 72452 84220 85960 90565 117908 126791 144904 147385 168440 181130 235816 248449 253582 294770 362260 496898 507164 589540 633955 724520 993796 1014328 1179080 1242245 1267910 1292777 1739143 1987592 2484490 2535820 2585554 3478286 4968980 5071640 5171108 6463885 6956572 8695715 9049439 9937960 10342216 12927770 13913144 17391430 18098878 25855540 34782860 36197756 45247195 51711080 69565720 72395512 76273843 90494390 152547686 180988780 305095372 361977560 381369215 533916901 610190744 762738430 1067833802 1525476860 2135667604 2669584505 3050953720 4271335208 5339169010 10678338020 21356676040