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12326013216 = 2533111296929
BaseRepresentation
bin10110111101011000…
…00000100100100000
31011211000120100102000
423132230000210200
5200220424410331
65355033124000
7614310245406
oct133654004440
934730510360
1012326013216
115255793190
12247bb59600
13121586ca5a
1484d043476
154c21bc0e6
hex2deb00920

12326013216 has 96 divisors (see below), whose sum is σ = 39219163200. Its totient is φ = 3735152640.

The previous prime is 12326013209. The next prime is 12326013239. The reversal of 12326013216 is 61231062321.

12326013216 is a `hidden beast` number, since 1 + 2 + 32 + 601 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12326013216.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 638961 + ... + 657968.

It is an arithmetic number, because the mean of its divisors is an integer number (408532950).

Almost surely, 212326013216 is an apocalyptic number.

12326013216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12326013216 is an abundant number, since it is smaller than the sum of its proper divisors (26893149984).

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

12326013216 is a wasteful number, since it uses less digits than its factorization.

12326013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296959 (or 1296945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12326013216 its reverse (61231062321), we get a palindrome (73557075537).

The spelling of 12326013216 in words is "twelve billion, three hundred twenty-six million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1296929 2593858 3890787 5187716 7781574 10375432 11672361 14266219 15563148 20750864 23344722 28532438 31126296 35017083 41501728 42798657 46689444 57064876 62252592 70034166 85597314 93378888 114129752 124505184 128395971 140068332 171194628 186757776 228259504 256791942 280136664 342389256 373515552 385187913 456519008 513583884 560273328 684778512 770375826 1027167768 1120546656 1369557024 1540751652 2054335536 3081503304 4108671072 6163006608 12326013216