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93157056648 = 23321877689317
BaseRepresentation
bin101011011000010010…
…1111110000010001000
322220110021102210200100
41112300211332002020
53011241201303043
6110443515005400
76505342626225
oct1266045760210
9286407383610
1093157056648
1136564803517
121607a139860
138a27c06636
14471a30894c
1526535e5cd3
hex15b097e088

93157056648 has 48 divisors (see below), whose sum is σ = 252435144780. Its totient is φ = 31035763584.

The previous prime is 93157056647. The next prime is 93157056659. The reversal of 93157056648 is 84665075139.

93157056648 is a `hidden beast` number, since 9 + 3 + 1 + 5 + 70 + 566 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93133611684 + 23444964 = 305178^2 + 4842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 93157056594 and 93157056603.

It is not an unprimeable number, because it can be changed into a prime (93157056647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209515 + ... + 479802.

Almost surely, 293157056648 is an apocalyptic number.

It is an amenable number.

93157056648 is an abundant number, since it is smaller than the sum of its proper divisors (159278088132).

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

93157056648 is a wasteful number, since it uses less digits than its factorization.

93157056648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691206 (or 691199 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 93157056648 in words is "ninety-three billion, one hundred fifty-seven million, fifty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1877 3754 5631 7508 11262 15016 16893 22524 33786 45048 67572 135144 689317 1378634 2067951 2757268 4135902 5514536 6203853 8271804 12407706 16543608 24815412 49630824 1293848009 2587696018 3881544027 5175392036 7763088054 10350784072 11644632081 15526176108 23289264162 31052352216 46578528324 93157056648