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27431308120192 = 274333714788979
BaseRepresentation
bin1100011110010110110010…
…11000000101000010000000
310121010102000000202010221221
412033023121120011002000
512043413304334321232
6134201434033324424
75530563246562354
oct617133130050200
9117112000663857
1027431308120192
118816609334879
1230b0455706714
13123c9b86317b2
146ab97a6d7464
1532884084d897
hex18f2d9605080

27431308120192 has 64 divisors (see below), whose sum is σ = 56085136192800. Its totient is φ = 13356931682304.

The previous prime is 27431308120171. The next prime is 27431308120199. The reversal of 27431308120192 is 29102180313472.

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

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (27431308120199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539642 + ... + 9249337.

Almost surely, 227431308120192 is an apocalyptic number.

It is an amenable number.

27431308120192 is an abundant number, since it is smaller than the sum of its proper divisors (28653828072608).

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

27431308120192 is a wasteful number, since it uses less digits than its factorization.

27431308120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789373 (or 14789361 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 27431308120192 in words is "twenty-seven trillion, four hundred thirty-one billion, three hundred eight million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 337 344 674 688 1348 1376 2696 2752 5392 5504 10784 14491 21568 28982 43136 57964 115928 231856 463712 927424 1854848 14788979 29577958 59155916 118311832 236623664 473247328 635926097 946494656 1271852194 1892989312 2543704388 4983885923 5087408776 9967771846 10174817552 19935543692 20349635104 39871087384 40699270208 79742174768 81398540416 159484349536 214307094689 318968699072 428614189378 637937398144 857228378756 1714456757512 3428913515024 6857827030048 13715654060096 27431308120192