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27968876099112 = 23313264793385469
BaseRepresentation
bin1100101110000000000101…
…11011001011011000101000
310200000210120001201220222010
412113000002323023120220
512131220224240132422
6135252420240555520
75614453552162254
oct627000273133050
9120023501656863
1027968876099112
118a03596457933
123178680022ba0
13127b5b8a142a0
146c99b50d1264
153378046b9b0c
hex197002ecb628

27968876099112 has 64 divisors (see below), whose sum is σ = 75303686304000. Its totient is φ = 8605480483584.

The previous prime is 27968876099111. The next prime is 27968876099149. The reversal of 27968876099112 is 21199067886972.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27968876099111) 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 15 ways as a sum of consecutive naturals, for example, 6568714 + ... + 9954182.

It is an arithmetic number, because the mean of its divisors is an integer number (1176620098500).

Almost surely, 227968876099112 is an apocalyptic number.

It is an amenable number.

27968876099112 is an abundant number, since it is smaller than the sum of its proper divisors (47334810204888).

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

27968876099112 is a wasteful number, since it uses less digits than its factorization.

27968876099112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411970 (or 3411966 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 75.

The spelling of 27968876099112 in words is "twenty-seven trillion, nine hundred sixty-eight billion, eight hundred seventy-six million, ninety-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 26479 52958 79437 105916 158874 211832 317748 344227 635496 688454 1032681 1376908 2065362 2753816 3385469 4130724 6770938 8261448 10156407 13541876 20312814 27083752 40625628 44011097 81251256 88022194 132033291 176044388 264066582 352088776 528133164 1056266328 89643833651 179287667302 268931500953 358575334604 537863001906 717150669208 1075726003812 1165369837463 2151452007624 2330739674926 3496109512389 4661479349852 6992219024778 9322958699704 13984438049556 27968876099112