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12387812864 = 29710732303
BaseRepresentation
bin10111000100101111…
…10000011000000000
31011222022212002120212
423202113300120000
5200332240002424
65405121453252
7615660446330
oct134227603000
934868762525
1012387812864
115287663179
1224987a1228
1312255c9bab
1485732d0c0
154c782810e
hex2e25f0600

12387812864 has 80 divisors (see below), whose sum is σ = 28552601088. Its totient is φ = 5259282432.

The previous prime is 12387812863. The next prime is 12387812911. The reversal of 12387812864 is 46821878321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12387812863) 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, 367337 + ... + 399639.

Almost surely, 212387812864 is an apocalyptic number.

12387812864 is a gapful number since it is divisible by the number (14) 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 12387812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276300544).

12387812864 is an abundant number, since it is smaller than the sum of its proper divisors (16164788224).

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

12387812864 is an equidigital number, since it uses as much as digits as its factorization.

12387812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32435 (or 32419 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The spelling of 12387812864 in words is "twelve billion, three hundred eighty-seven million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 256 428 448 512 749 856 896 1498 1712 1792 2996 3424 3584 5992 6848 11984 13696 23968 27392 32303 47936 54784 64606 95872 129212 191744 226121 258424 383488 452242 516848 904484 1033696 1808968 2067392 3456421 3617936 4134784 6912842 7235872 8269568 13825684 14471744 16539136 24194947 27651368 28943488 48389894 55302736 57886976 96779788 110605472 115773952 193559576 221210944 387119152 442421888 774238304 884843776 1548476608 1769687552 3096953216 6193906432 12387812864