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12594720768 = 21237146423
BaseRepresentation
bin10111011101011010…
…00011000000000000
31012111202012002212120
423232231003000000
5201243222031033
65441432324240
7624052234350
oct135655030000
935452162776
1012594720768
115383434143
122535b43680
1312594324c6
148769ccb60
154daa991b3
hex2eeb43000

12594720768 has 104 divisors (see below), whose sum is σ = 38379487488. Its totient is φ = 3598467072.

The previous prime is 12594720767. The next prime is 12594720781. The reversal of 12594720768 is 86702749521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12594720768.

It is not an unprimeable number, because it can be changed into a prime (12594720767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12805 + ... + 159227.

Almost surely, 212594720768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12594720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189743744).

12594720768 is an abundant number, since it is smaller than the sum of its proper divisors (25784766720).

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

12594720768 is an equidigital number, since it uses as much as digits as its factorization.

12594720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146457 (or 146435 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 12594720768 in words is "twelve billion, five hundred ninety-four million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 21504 28672 43008 86016 146423 292846 439269 585692 878538 1024961 1171384 1757076 2049922 2342768 3074883 3514152 4099844 4685536 6149766 7028304 8199688 9371072 12299532 14056608 16399376 18742144 24599064 28113216 32798752 37484288 49198128 56226432 65597504 74968576 98396256 112452864 131195008 149937152 196792512 224905728 262390016 299874304 393585024 449811456 524780032 599748608 787170048 899622912 1049560064 1574340096 1799245824 2099120128 3148680192 4198240256 6297360384 12594720768