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268991756208 = 24327266856901
BaseRepresentation
bin1111101010000100101…
…0000111011110110000
3221201022111110000220100
43322201022013132300
513401343342144313
6323323442512400
725301603126250
oct3724112073660
9851274400810
10268991756208
11a409591983a
1244170965700
131c49a901266
14d03ac41960
156ee52c6173
hex3ea12877b0

268991756208 has 60 divisors (see below), whose sum is σ = 860346652048. Its totient is φ = 76854787200.

The previous prime is 268991756183. The next prime is 268991756251. The reversal of 268991756208 is 802657199862.

268991756208 is a `hidden beast` number, since 2 + 68 + 9 + 9 + 1 + 7 + 562 + 0 + 8 = 666.

268991756208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133427443 + ... + 133429458.

Almost surely, 2268991756208 is an apocalyptic number.

268991756208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268991756208 is an abundant number, since it is smaller than the sum of its proper divisors (591354895840).

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

268991756208 is a wasteful number, since it uses less digits than its factorization.

268991756208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266856922 (or 266856913 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 268991756208 in words is "two hundred sixty-eight billion, nine hundred ninety-one million, seven hundred fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 266856901 533713802 800570703 1067427604 1601141406 1867998307 2134855208 2401712109 3202282812 3735996614 4269710416 4803424218 5603994921 6404565624 7471993228 9606848436 11207989842 12809131248 14943986456 16811984763 19213696872 22415979684 29887972912 33623969526 38427393744 44831959368 67247939052 89663918736 134495878104 268991756208