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12425461056 = 263243150051
BaseRepresentation
bin10111001001001110…
…10111110101000000
31012001221200211012100
423210213113311000
5200421404223211
65412544430400
7616625450661
oct134447276500
935057624170
1012425461056
1152a6937888
1224a9318400
13123034c128
1485c32d368
154cacb3156
hex2e49d7d40

12425461056 has 84 divisors (see below), whose sum is σ = 35698688064. Its totient is φ = 4132128000.

The previous prime is 12425461019. The next prime is 12425461091. The reversal of 12425461056 is 65016452421.

12425461056 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 546 + 105 + 6 = 666.

12425461056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12425461056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223231 + ... + 273281.

Almost surely, 212425461056 is an apocalyptic number.

12425461056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849344032).

12425461056 is an abundant number, since it is smaller than the sum of its proper divisors (23273227008).

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

12425461056 is a wasteful number, since it uses less digits than its factorization.

12425461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50500 (or 50487 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12425461056 in words is "twelve billion, four hundred twenty-five million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 431 576 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 27584 31032 41376 50051 62064 82752 100102 124128 150153 200204 248256 300306 400408 450459 600612 800816 900918 1201224 1601632 1801836 2402448 3203264 3603672 4804896 7207344 9609792 14414688 21571981 28829376 43143962 64715943 86287924 129431886 172575848 194147829 258863772 345151696 388295658 517727544 690303392 776591316 1035455088 1380606784 1553182632 2070910176 3106365264 4141820352 6212730528 12425461056