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268337978589312 = 273377644091027
BaseRepresentation
bin111101000000110101001101…
…111001001100000010000000
31022012002212020002202020111000
4331000311031321030002000
5240132422140004324222
62350412433210052000
7110343531155141262
oct7500651571140200
91265085202666430
10268337978589312
11785565523a2185
122611984611a000
13b6962168aca78
144a398ada79b32
15210514755b9ac
hexf40d4de4c080

268337978589312 has 64 divisors (see below), whose sum is σ = 791969728485600. Its totient is φ = 89445992861952.

The previous prime is 268337978589259. The next prime is 268337978589313. The reversal of 268337978589312 is 213985879733862.

268337978589312 is a `hidden beast` number, since 2 + 6 + 83 + 3 + 79 + 7 + 85 + 89 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (268337978589313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38822042058 + ... + 38822048969.

Almost surely, 2268337978589312 is an apocalyptic number.

It is an amenable number.

268337978589312 is an abundant number, since it is smaller than the sum of its proper divisors (523631749896288).

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

268337978589312 is an equidigital number, since it uses as much as digits as its factorization.

268337978589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77644091050 (or 77644091032 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 268337978589312 in words is "two hundred sixty-eight trillion, three hundred thirty-seven billion, nine hundred seventy-eight million, five hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 77644091027 155288182054 232932273081 310576364108 465864546162 621152728216 698796819243 931729092324 1242305456432 1397593638486 1863458184648 2096390457729 2484610912864 2795187276972 3726916369296 4192780915458 4969221825728 5590374553944 7453832738592 8385561830916 9938443651456 11180749107888 14907665477184 16771123661832 22361498215776 29815330954368 33542247323664 44722996431552 67084494647328 89445992863104 134168989294656 268337978589312