Search a number
-
+
968874807384 = 23321110311876959
BaseRepresentation
bin11100001100101010111…
…00000101000001011000
310102121211112212211000100
432012111130011001120
5111333223422314014
62021032301335400
7126666422660151
oct16062534050130
93377745784010
10968874807384
11343996630010
12137936267560
1370497a71cc3
1434c727c2928
151a308e7c009
hexe195705058

968874807384 has 96 divisors (see below), whose sum is σ = 2890376985600. Its totient is φ = 290747931840.

The previous prime is 968874807367. The next prime is 968874807463. The reversal of 968874807384 is 483708478869.

968874807384 is a `hidden beast` number, since 9 + 68 + 8 + 7 + 480 + 7 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5856904 + ... + 6020055.

It is an arithmetic number, because the mean of its divisors is an integer number (30108093600).

Almost surely, 2968874807384 is an apocalyptic number.

It is an amenable number.

968874807384 is an abundant number, since it is smaller than the sum of its proper divisors (1921502178216).

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

968874807384 is a wasteful number, since it uses less digits than its factorization.

968874807384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877085 (or 11877078 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 968874807384 in words is "nine hundred sixty-eight billion, eight hundred seventy-four million, eight hundred seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 81576 11876959 23753918 35630877 47507836 71261754 95015672 106892631 130646549 142523508 213785262 261293098 285047016 391939647 427570524 522586196 783879294 855141048 1045172392 1175818941 1223326777 1567758588 2351637882 2446653554 3135517176 3669980331 4703275764 4893307108 7339960662 9406551528 9786614216 11009940993 13456594547 14679921324 22019881986 26913189094 29359842648 40369783641 44039763972 53826378188 80739567282 88079527944 107652756376 121109350923 161479134564 242218701846 322958269128 484437403692 968874807384