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12796920000 = 26335417241
BaseRepresentation
bin10111110101100000…
…11000000011000000
31020000211122220002000
423322300120003000
5202202002420000
65513454224000
7632056011444
oct137260300300
936024586060
1012796920000
115477589447
1225917b5000
13128c2a9817
148957c4824
154ed6da000
hex2fac180c0

12796920000 has 840 divisors, whose sum is σ = 51156687120. Its totient is φ = 3133440000.

The previous prime is 12796919977. The next prime is 12796920077. The reversal of 12796920000 is 2969721.

It is a super-2 number, since 2×127969200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 312119980 + ... + 312120020.

It is an arithmetic number, because the mean of its divisors is an integer number (60900818).

Almost surely, 212796920000 is an apocalyptic number.

12796920000 is a gapful number since it is divisible by the number (10) 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 12796920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25578343560).

12796920000 is an abundant number, since it is smaller than the sum of its proper divisors (38359767120).

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

12796920000 is an equidigital number, since it uses as much as digits as its factorization.

12796920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12796920000 in words is "twelve billion, seven hundred ninety-six million, nine hundred twenty thousand".