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97199257097376 = 25337137117308801
BaseRepresentation
bin10110000110011011110111…
…001100010001010010100000
3110202011011021100102120112000
4112012123313030101102200
5100220003034304104001
6542420420002204000
726321262126233250
oct2606336714212240
9422134240376460
1097199257097376
1128a74a78719995
12aa99a4a653600
134230b09a54075
141a0067d495960
15b385981a5a86
hex5866f73114a0

97199257097376 has 192 divisors, whose sum is σ = 326362471868160. Its totient is φ = 27568506470400.

The previous prime is 97199257097363. The next prime is 97199257097389. The reversal of 97199257097376 is 67379075299179.

97199257097376 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 9 + 2 + 570 + 9 + 7 + 37 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (97199257097363) and next prime (97199257097389).

It is a junction number, because it is equal to n+sod(n) for n = 97199257097295 and 97199257097304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57825825 + ... + 59482976.

It is an arithmetic number, because the mean of its divisors is an integer number (1699804540980).

Almost surely, 297199257097376 is an apocalyptic number.

97199257097376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97199257097376 is an abundant number, since it is smaller than the sum of its proper divisors (229163214770784).

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

97199257097376 is a wasteful number, since it uses less digits than its factorization.

97199257097376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117308964 (or 117308950 counting only the distinct ones).

The product of its (nonzero) digits is 2835532980, while the sum is 81.

The spelling of 97199257097376 in words is "ninety-seven trillion, one hundred ninety-nine billion, two hundred fifty-seven million, ninety-seven thousand, three hundred seventy-six".