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12525041952 = 253260771647
BaseRepresentation
bin10111010101000110…
…01111100100100000
31012022220002001111200
423222203033210200
5201122402320302
65430503041200
7622245046203
oct135243174440
935286061450
1012525041952
115348072445
122516740200
131247b76c37
1486b65193a
154d48d381c
hex2ea8cf920

12525041952 has 72 divisors (see below), whose sum is σ = 35677264896. Its totient is φ = 4168077696.

The previous prime is 12525041933. The next prime is 12525041959. The reversal of 12525041952 is 25914052521.

12525041952 is a `hidden beast` number, since 1 + 2 + 525 + 0 + 41 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12525041959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138993 + ... + 210639.

It is an arithmetic number, because the mean of its divisors is an integer number (495517568).

Almost surely, 212525041952 is an apocalyptic number.

12525041952 is a gapful number since it is divisible by the number (12) 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 12525041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838632448).

12525041952 is an abundant number, since it is smaller than the sum of its proper divisors (23152222944).

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

12525041952 is a wasteful number, since it uses less digits than its factorization.

12525041952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72270 (or 72259 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12525041952 in words is "twelve billion, five hundred twenty-five million, forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 607 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 19424 21852 29136 43704 58272 71647 87408 143294 174816 214941 286588 429882 573176 644823 859764 1146352 1289646 1719528 2292704 2579292 3439056 5158584 6878112 10317168 20634336 43489729 86979458 130469187 173958916 260938374 347917832 391407561 521876748 695835664 782815122 1043753496 1391671328 1565630244 2087506992 3131260488 4175013984 6262520976 12525041952