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12351744016 = 2426910132833
BaseRepresentation
bin10111000000011100…
…01010100000010000
31011212210222121102121
423200032022200100
5200244021302031
65401352424024
7615042043333
oct134016124020
934783877377
1012351744016
115269268107
1224886a8014
13121acab791
1485262061a
154c45a1011
hex2e038a810

12351744016 has 40 divisors (see below), whose sum is σ = 24052668120. Its totient is φ = 6144669696.

The previous prime is 12351744007. The next prime is 12351744017. The reversal of 12351744016 is 61044715321.

It can be written as a sum of positive squares in 4 ways, for example, as 1043548416 + 11308195600 = 32304^2 + 106340^2 .

It is not an unprimeable number, because it can be changed into a prime (12351744017) 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 7 ways as a sum of consecutive naturals, for example, 4358536 + ... + 4361368.

It is an arithmetic number, because the mean of its divisors is an integer number (601316703).

Almost surely, 212351744016 is an apocalyptic number.

12351744016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12351744016 is a deficient number, since it is larger than the sum of its proper divisors (11700924104).

12351744016 is a wasteful number, since it uses less digits than its factorization.

12351744016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12351744016 in words is "twelve billion, three hundred fifty-one million, seven hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 269 538 1013 1076 2026 2152 2833 4052 4304 5666 8104 11332 16208 22664 45328 272497 544994 762077 1089988 1524154 2179976 2869829 3048308 4359952 5739658 6096616 11479316 12193232 22958632 45917264 771984001 1543968002 3087936004 6175872008 12351744016