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12252631456 = 251331950111
BaseRepresentation
bin10110110100101000…
…00101000110100000
31011121220111011120001
423122110011012200
5200043133201311
65343452225344
7612426435412
oct133224050640
934556434501
1012252631456
1152183223aa
12245b46b254
1312035b8bb0
148433c09b2
154baa244c1
hex2da5051a0

12252631456 has 48 divisors (see below), whose sum is σ = 26815961088. Its totient is φ = 5472633600.

The previous prime is 12252631439. The next prime is 12252631463. The reversal of 12252631456 is 65413625221.

It is an unprimeable number.

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, 462160 + ... + 487951.

It is an arithmetic number, because the mean of its divisors is an integer number (558665856).

Almost surely, 212252631456 is an apocalyptic number.

12252631456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12252631456 is an abundant number, since it is smaller than the sum of its proper divisors (14563329632).

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

12252631456 is a wasteful number, since it uses less digits than its factorization.

12252631456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950165 (or 950157 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The spelling of 12252631456 in words is "twelve billion, two hundred fifty-two million, six hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 950111 1900222 3800444 7600888 12351443 15201776 24702886 29453441 30403552 49405772 58906882 98811544 117813764 197623088 235627528 382894733 395246176 471255056 765789466 942510112 1531578932 3063157864 6126315728 12252631456