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12430727157564 = 2233335893426697
BaseRepresentation
bin1011010011100100000100…
…0100111001011100111100
31122000100212202012210211000
42310321001010321130330
53112131112123020224
642234332555530300
72422043002313202
oct264710104713474
948010782183730
1012430727157564
113a629294594a1
1214891a9459990
136c229bc50661
1430d9169d3072
151685421cc0c9
hexb4e4113973c

12430727157564 has 48 divisors (see below), whose sum is σ = 32228780029600. Its totient is φ = 4143451148928.

The previous prime is 12430727157553. The next prime is 12430727157593. The reversal of 12430727157564 is 46575172703421.

12430727157564 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 0 + 7 + 2 + 7 + 1 + 575 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12430727157564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914264 + ... + 5340960.

Almost surely, 212430727157564 is an apocalyptic number.

It is an amenable number.

12430727157564 is an abundant number, since it is smaller than the sum of its proper divisors (19798052872036).

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

12430727157564 is a wasteful number, since it uses less digits than its factorization.

12430727157564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460299 (or 3460291 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 12430727157564 in words is "twelve trillion, four hundred thirty billion, seven hundred twenty-seven million, one hundred fifty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 33589 67178 100767 134356 201534 302301 403068 604602 906903 1209204 1813806 3426697 3627612 6853394 10280091 13706788 20560182 30840273 41120364 61680546 92520819 123361092 185041638 370083276 115099325533 230198651066 345297976599 460397302132 690595953198 1035893929797 1381191906396 2071787859594 3107681789391 4143575719188 6215363578782 12430727157564