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12318708736 = 21023222741
BaseRepresentation
bin10110111100100000…
…01001010000000000
31011210111211020112201
423132100021100000
5200212042134421
65354212402544
7614161203505
oct133620112000
934714736481
1012318708736
115251654224
122479616454
1312141b3089
1484c0a14ac
154c1727b91
hex2de409400

12318708736 has 66 divisors (see below), whose sum is σ = 25743739322. Its totient is φ = 5891297280.

The previous prime is 12318708683. The next prime is 12318708739. The reversal of 12318708736 is 63780781321.

It can be written as a sum of positive squares in only one way, i.e., 7930971136 + 4387737600 = 89056^2 + 66240^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318708739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530326 + ... + 553066.

Almost surely, 212318708736 is an apocalyptic number.

12318708736 is a gapful number since it is divisible by the number (16) 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 12318708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871869661).

12318708736 is an abundant number, since it is smaller than the sum of its proper divisors (13425030586).

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

12318708736 is an equidigital number, since it uses as much as digits as its factorization.

12318708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22766 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 12318708736 in words is "twelve billion, three hundred eighteen million, seven hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2116 2944 4232 5888 8464 11776 16928 22741 23552 33856 45482 67712 90964 135424 181928 270848 363856 523043 541696 727712 1046086 1455424 2092172 2910848 4184344 5821696 8368688 11643392 12029989 16737376 23286784 24059978 33474752 48119956 66949504 96239912 133899008 192479824 267798016 384959648 535596032 769919296 1539838592 3079677184 6159354368 12318708736