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8135196009957 = 324179289796331
BaseRepresentation
bin111011001100001111101…
…1101111110010111100101
31001210201100210112022011100
41312120133131332113211
52031241340134304312
625145131335430313
71466514512066532
oct166303735762745
931721323468140
108135196009957
112657132077575
12ab47a4825399
134701b81156a3
14201a61c6dd89
15e193604c5dc
hex7661f77e5e5

8135196009957 has 48 divisors (see below), whose sum is σ = 12194151540480. Its totient is φ = 5222349849600.

The previous prime is 8135196009953. The next prime is 8135196009961. The reversal of 8135196009957 is 7599006915318.

8135196009957 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 19 + 600 + 9 + 9 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (8135196009953) and next prime (8135196009961).

It is not a de Polignac number, because 8135196009957 - 22 = 8135196009953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8135196009894 and 8135196009903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8135196009953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84402282 + ... + 84498612.

It is an arithmetic number, because the mean of its divisors is an integer number (254044823760).

Almost surely, 28135196009957 is an apocalyptic number.

It is an amenable number.

8135196009957 is a deficient number, since it is larger than the sum of its proper divisors (4058955530523).

8135196009957 is a wasteful number, since it uses less digits than its factorization.

8135196009957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99354 (or 99351 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 8135196009957 in words is "eight trillion, one hundred thirty-five billion, one hundred ninety-six million, nine thousand, nine hundred fifty-seven".

Divisors: 1 3 9 41 79 123 237 369 711 2897 3239 8691 9717 26073 29151 96331 118777 228863 288993 356331 686589 866979 1068993 2059767 3949571 7610149 9383383 11848713 22830447 28150149 35546139 68491341 84450447 279070907 312016109 837212721 936048327 2511638163 2808144981 11441907187 22046601653 34325721561 66139804959 102977164683 198419414877 903910667773 2711732003319 8135196009957