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12336634016 = 257233177243
BaseRepresentation
bin10110111110101001…
…00001100010100000
31011211202112221101222
423133110201202200
5200231134242031
65400052514212
7614466442010
oct133724414240
934752487358
1012336634016
115260787803
12248361b968
131217b1b055
14850609c40
154c30b8e7b
hex2df5218a0

12336634016 has 96 divisors (see below), whose sum is σ = 29898989568. Its totient is φ = 4894053120.

The previous prime is 12336634007. The next prime is 12336634043. The reversal of 12336634016 is 61043663321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121091 + ... + 198333.

It is an arithmetic number, because the mean of its divisors is an integer number (311447808).

Almost surely, 212336634016 is an apocalyptic number.

12336634016 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 12336634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949494784).

12336634016 is an abundant number, since it is smaller than the sum of its proper divisors (17562355552).

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

12336634016 is a wasteful number, since it uses less digits than its factorization.

12336634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77314 (or 77306 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 12336634016 in words is "twelve billion, three hundred thirty-six million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 868 992 1288 1426 1736 2576 2852 3472 4991 5152 5704 6944 9982 11408 19964 22816 39928 77243 79856 154486 159712 308972 540701 617944 1081402 1235888 1776589 2162804 2394533 2471776 3553178 4325608 4789066 7106356 8651216 9578132 12436123 14212712 16761731 17302432 19156264 24872246 28425424 33523462 38312528 49744492 55074259 56850848 67046924 76625056 99488984 110148518 134093848 198977968 220297036 268187696 385519813 397955936 440594072 536375392 771039626 881188144 1542079252 1762376288 3084158504 6168317008 12336634016