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268030960427088 = 24322600817156717
BaseRepresentation
bin111100111100010111010010…
…001011110110000001010000
31022011000111202110220122001200
4330330113102023312001100
5240112404401332131323
62350015420125231200
7110312412030623355
oct7474272213660120
91264014673818050
10268030960427088
1178448323676811
122608a242402500
13b673298a89461
144a28aa681062c
1520ec178b97443
hexf3c5d22f6050

268030960427088 has 60 divisors (see below), whose sum is σ = 750117412943028. Its totient is φ = 89343297469440.

The previous prime is 268030960427071. The next prime is 268030960427123. The reversal of 268030960427088 is 880724069030862.

268030960427088 is a `hidden beast` number, since 26 + 80 + 30 + 9 + 6 + 0 + 427 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149645506089024 + 118385454338064 = 12232968^2 + 10880508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33873306 + ... + 41030022.

Almost surely, 2268030960427088 is an apocalyptic number.

It is an amenable number.

268030960427088 is an abundant number, since it is smaller than the sum of its proper divisors (482086452515940).

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

268030960427088 is a wasteful number, since it uses less digits than its factorization.

268030960427088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416812 (or 7416803 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 268030960427088 in words is "two hundred sixty-eight trillion, thirty billion, nine hundred sixty million, four hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 260081 520162 780243 1040324 1560486 2080648 2340729 3120972 4161296 4681458 6241944 7156717 9362916 12483888 14313434 18725832 21470151 28626868 37451664 42940302 57253736 64410453 85880604 114507472 128820906 171761208 257641812 343522416 515283624 1030567248 1861326114077 3722652228154 5583978342231 7445304456308 11167956684462 14890608912616 16751935026693 22335913368924 29781217825232 33503870053386 44671826737848 67007740106772 89343653475696 134015480213544 268030960427088