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12440348352 = 263221597827
BaseRepresentation
bin10111001011000000…
…01010011011000000
31012002222201011201200
423211200022123000
5200434212121402
65414235501200
7620166134115
oct134540123300
935088634650
1012440348352
115304285933
1224b22b7800
131233462393
148602c690c
154cc25421c
hex2e580a6c0

12440348352 has 42 divisors (see below), whose sum is σ = 35658014028. Its totient is φ = 4146782592.

The previous prime is 12440348303. The next prime is 12440348377. The reversal of 12440348352 is 25384304421.

12440348352 is a `hidden beast` number, since 124 + 4 + 0 + 3 + 483 + 52 = 666.

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

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 5 ways as a sum of consecutive naturals, for example, 10798338 + ... + 10799489.

It is an arithmetic number, because the mean of its divisors is an integer number (849000334).

Almost surely, 212440348352 is an apocalyptic number.

12440348352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12440348352 is an abundant number, since it is smaller than the sum of its proper divisors (23217665676).

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

12440348352 is a wasteful number, since it uses less digits than its factorization.

12440348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21597845 (or 21597832 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12440348352 in words is "twelve billion, four hundred forty million, three hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21597827 43195654 64793481 86391308 129586962 172782616 194380443 259173924 345565232 388760886 518347848 691130464 777521772 1036695696 1382260928 1555043544 2073391392 3110087088 4146782784 6220174176 12440348352