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12423625560 = 23335191229263
BaseRepresentation
bin10111001001000000…
…10111101101011000
31012001211020120101000
423210200113231120
5200420422004220
65412441225000
7616604034453
oct134440275530
935054216330
1012423625560
1152a58a3845
1224a8792160
13122cb58838
1485bdb249a
154caa4e390
hex2e4817b58

12423625560 has 256 divisors, whose sum is σ = 41969664000. Its totient is φ = 3268753920.

The previous prime is 12423625547. The next prime is 12423625567. The reversal of 12423625560 is 6552632421.

12423625560 is a `hidden beast` number, since 1 + 2 + 4 + 23 + 625 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423625567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47237989 + ... + 47238251.

It is an arithmetic number, because the mean of its divisors is an integer number (163944000).

Almost surely, 212423625560 is an apocalyptic number.

12423625560 is a gapful number since it is divisible by the number (10) 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 12423625560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984832000).

12423625560 is an abundant number, since it is smaller than the sum of its proper divisors (29546038440).

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

12423625560 is a wasteful number, since it uses less digits than its factorization.

12423625560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12423625560 in words is "twelve billion, four hundred twenty-three million, six hundred twenty-five thousand, five hundred sixty".