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268918993476 = 223272123472
BaseRepresentation
bin1111101001110011010…
…0100011001001000100
3221201010102112022012100
43322130310203021010
513401221230242401
6323312323152100
725300030505100
oct3723464431104
9851112468170
10268918993476
11a4058841051
1244150515630
131c4888060a3
14d031300900
156eddc01b86
hex3e9cd23244

268918993476 has 81 divisors (see below), whose sum is σ = 790813946559. Its totient is φ = 76827775248.

The previous prime is 268918993463. The next prime is 268918993493. The reversal of 268918993476 is 674399819862.

The square root of 268918993476 is 518574.

It is a perfect power (a square), and thus also a powerful number.

268918993476 is a `hidden beast` number, since 2 + 68 + 9 + 1 + 8 + 9 + 93 + 476 = 666.

268918993476 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21773935 + ... + 21786281.

Almost surely, 2268918993476 is an apocalyptic number.

268918993476 is the 518574-th square number.

It is an amenable number.

268918993476 is an abundant number, since it is smaller than the sum of its proper divisors (521894953083).

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

268918993476 is an equidigital number, since it uses as much as digits as its factorization.

268918993476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24718 (or 12359 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 268918993476 in words is "two hundred sixty-eight billion, nine hundred eighteen million, nine hundred ninety-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 12347 24694 37041 49388 74082 86429 111123 148164 172858 222246 259287 345716 444492 518574 605003 777861 1037148 1210006 1555722 1815009 2420012 3111444 3630018 5445027 7260036 10890054 21780108 152448409 304896818 457345227 609793636 914690454 1067138863 1372035681 1829380908 2134277726 2744071362 3201416589 4268555452 5488142724 6402833178 7469972041 9604249767 12805666356 14939944082 19208499534 22409916123 29879888164 38416999068 44819832246 67229748369 89639664492 134459496738 268918993476