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97137188879031 = 32737127328125163
BaseRepresentation
bin10110000101100010000011…
…101000110011101010110111
3110201221020001201010101120100
4112011202003220303222313
5100212443430323112111
6542332113013005143
726313634044130410
oct2605420350635267
9421836051111510
1097137188879031
1128a50717840874
12aa89a080237b3
134227cc7985c52
1419db67206a807
15b36b640b7756
hex585883a33ab7

97137188879031 has 48 divisors (see below), whose sum is σ = 165984082960384. Its totient is φ = 53581526453952.

The previous prime is 97137188879021. The next prime is 97137188879039. The reversal of 97137188879031 is 13097888173179.

97137188879031 is a `hidden beast` number, since 9 + 71 + 371 + 88 + 87 + 9 + 0 + 31 = 666.

It is not a de Polignac number, because 97137188879031 - 26 = 97137188878967 is a prime.

It is a super-2 number, since 2×971371888790312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97137188879039) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 163766545 + ... + 164358618.

Almost surely, 297137188879031 is an apocalyptic number.

97137188879031 is a deficient number, since it is larger than the sum of its proper divisors (68846894081353).

97137188879031 is a wasteful number, since it uses less digits than its factorization.

97137188879031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328125340 (or 328125337 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 72.

The spelling of 97137188879031 in words is "ninety-seven trillion, one hundred thirty-seven billion, one hundred eighty-eight million, eight hundred seventy-nine thousand, thirty-one".

Divisors: 1 3 7 9 21 37 63 111 127 259 333 381 777 889 1143 2331 2667 4699 8001 14097 32893 42291 98679 296037 328125163 984375489 2296876141 2953126467 6890628423 12140631031 20671885269 36421893093 41671895701 84984417217 109265679279 125015687103 254953251651 291703269907 375047061309 764859754953 875109809721 1541860140937 2625329429163 4625580422811 10793020986559 13876741268433 32379062959677 97137188879031