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12696218304 = 2637211219587
BaseRepresentation
bin10111101001100000…
…01110101011000000
31012202211011201022120
423310300032223000
5202000212441204
65455500004240
7626424034500
oct136460165300
935684151276
1012696218304
115425758800
122563b30680
13127447b813
1488628da00
154e49476d9
hex2f4c0eac0

12696218304 has 504 divisors, whose sum is σ = 45289500480. Its totient is φ = 3118832640.

The previous prime is 12696218287. The next prime is 12696218309. The reversal of 12696218304 is 40381269621.

It is a super-2 number, since 2×126962183042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12696218309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21628699 + ... + 21629285.

It is an arithmetic number, because the mean of its divisors is an integer number (89860120).

Almost surely, 212696218304 is an apocalyptic number.

12696218304 is a gapful number since it is divisible by the number (14) 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 12696218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644750240).

12696218304 is an abundant number, since it is smaller than the sum of its proper divisors (32593282176).

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

12696218304 is a wasteful number, since it uses less digits than its factorization.

12696218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12696218304 in words is "twelve billion, six hundred ninety-six million, two hundred eighteen thousand, three hundred four".