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268464374658 = 23231673714887
BaseRepresentation
bin1111101000000110111…
…0010100001110000010
3221122221202002021102100
43322001232110032002
513344303334442113
6323155243131230
725252540350564
oct3720156241602
9848852067370
10268464374658
11a3945160217
1244044213b16
131c41557cc7c
14cdcab9d334
156eb3d4ed73
hex3e81b94382

268464374658 has 48 divisors (see below), whose sum is σ = 601329470976. Its totient is φ = 86472610560.

The previous prime is 268464374623. The next prime is 268464374669. The reversal of 268464374658 is 856473464862.

268464374658 is a `hidden beast` number, since 2 + 6 + 84 + 64 + 37 + 465 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268464374595 and 268464374604.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18091 + ... + 732977.

It is an arithmetic number, because the mean of its divisors is an integer number (12527697312).

Almost surely, 2268464374658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268464374658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300664735488).

268464374658 is an abundant number, since it is smaller than the sum of its proper divisors (332865096318).

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

268464374658 is a wasteful number, since it uses less digits than its factorization.

268464374658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715599 (or 715596 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 268464374658 in words is "two hundred sixty-eight billion, four hundred sixty-four million, three hundred seventy-four thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 673 1346 2019 4038 6057 12114 20863 41726 62589 125178 187767 375534 714887 1429774 2144661 4289322 6433983 12867966 22161497 44322994 66484491 132968982 199453473 398906946 481118951 962237902 1443356853 2886713706 4330070559 8660141118 14914687481 29829374962 44744062443 89488124886 134232187329 268464374658