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12577445338328 = 23131712756015273
BaseRepresentation
bin1011011100000110101000…
…1010010101110011011000
31122112101120210100122000222
42313001222022111303120
53122032102001311303
642425555411415212
72435455551263303
oct267015212256330
948471523318028
1012577445338328
11400a079000242
1214b1714bb4508
13703081614b30
14316a7457bb3a
1516c27caea938
hexb706a295cd8

12577445338328 has 64 divisors (see below), whose sum is σ = 27102430172160. Its totient is φ = 5420485840896.

The previous prime is 12577445338321. The next prime is 12577445338333. The reversal of 12577445338328 is 82383354477521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577445338321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27783101 + ... + 28232172.

It is an arithmetic number, because the mean of its divisors is an integer number (423475471440).

Almost surely, 212577445338328 is an apocalyptic number.

It is an amenable number.

12577445338328 is an abundant number, since it is smaller than the sum of its proper divisors (14524984833832).

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

12577445338328 is a wasteful number, since it uses less digits than its factorization.

12577445338328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56015436 (or 56015432 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 62.

The spelling of 12577445338328 in words is "twelve trillion, five hundred seventy-seven billion, four hundred forty-five million, three hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 127 136 221 254 442 508 884 1016 1651 1768 2159 3302 4318 6604 8636 13208 17272 28067 56134 112268 224536 56015273 112030546 224061092 448122184 728198549 952259641 1456397098 1904519282 2912794196 3809038564 5825588392 7113939671 7618077128 12379375333 14227879342 24758750666 28455758684 49517501332 56911517368 92481215723 99035002664 120936974407 184962431446 241873948814 369924862892 483747897628 739849725784 967495795256 1572180667291 3144361334582 6288722669164 12577445338328