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12312854134848 = 263317419146723
BaseRepresentation
bin1011001100101100111101…
…0011000000000001000000
31121121002121222022211122000
42303023033103000001000
53103213211124303343
642104240323544000
72410401001203561
oct263131723000100
947532558284560
1012312854134848
113a17941188943
12146a391b2b000
136b413560b337
14307d33d5a168
15165443d1bed3
hexb32cf4c0040

12312854134848 has 112 divisors (see below), whose sum is σ = 38326776442560. Its totient is φ = 3862856189952.

The previous prime is 12312854134793. The next prime is 12312854134849. The reversal of 12312854134848 is 84843145821321.

12312854134848 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 28 + 541 + 34 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12312854134794 and 12312854134803.

It is not an unprimeable number, because it can be changed into a prime (12312854134849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209543986 + ... + 209602737.

Almost surely, 212312854134848 is an apocalyptic number.

12312854134848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12312854134848 is an abundant number, since it is smaller than the sum of its proper divisors (26013922307712).

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

12312854134848 is a wasteful number, since it uses less digits than its factorization.

12312854134848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419146761 (or 419146745 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 12312854134848 in words is "twelve trillion, three hundred twelve billion, eight hundred fifty-four million, one hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 419146723 838293446 1257440169 1676586892 2514880338 3353173784 3772320507 5029760676 6706347568 7125494291 7544641014 10059521352 11316961521 13412695136 14250988582 15089282028 20119042704 21376482873 22633923042 26825390272 28501977164 30178564056 40238085408 42752965746 45267846084 57003954328 60357128112 64129448619 80476170816 85505931492 90535692168 114007908656 120714256224 128258897238 171011862984 181071384336 192388345857 228015817312 241428512448 256517794476 342023725968 362142768672 384776691714 456031634624 513035588952 684047451936 724285537344 769553383428 1026071177904 1368094903872 1539106766856 2052142355808 3078213533712 4104284711616 6156427067424 12312854134848