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12326035104 = 253242798733
BaseRepresentation
bin10110111101011000…
…00101111010100000
31011211000121110102200
423132230011322200
5200220431110404
65355033413200
7614310366255
oct133654057240
934730543380
1012326035104
1152557a8679
12247bb6a200
1312158799c6
1484d04b42c
154c21c3839
hex2deb05ea0

12326035104 has 36 divisors (see below), whose sum is σ = 35052163146. Its totient is φ = 4108678272.

The previous prime is 12326035081. The next prime is 12326035109. The reversal of 12326035104 is 40153062321.

12326035104 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 603 + 51 + 0 + 4 = 666.

12326035104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7516890000 + 4809145104 = 86700^2 + 69348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123260351042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12326035109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21399079 + ... + 21399654.

Almost surely, 212326035104 is an apocalyptic number.

It is an amenable number.

12326035104 is an abundant number, since it is smaller than the sum of its proper divisors (22726128042).

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

12326035104 is a wasteful number, since it uses less digits than its factorization.

12326035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42798749 (or 42798738 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12326035104 its reverse (40153062321), we get a palindrome (52479097425).

The spelling of 12326035104 in words is "twelve billion, three hundred twenty-six million, thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42798733 85597466 128396199 171194932 256792398 342389864 385188597 513584796 684779728 770377194 1027169592 1369559456 1540754388 2054339184 3081508776 4108678368 6163017552 12326035104