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12926908800 = 2733521317677
BaseRepresentation
bin11000000101000000…
…01111100110000000
31020100220021000012000
430002200033212000
5202433242040200
65534420304000
7635224624521
oct140240174600
936326230160
1012926908800
1155339a2a03
122609242000
1312b01c0180
148a8b80848
15509d15300
hex30280f980

12926908800 has 768 divisors, whose sum is σ = 54024667200. Its totient is φ = 2990407680.

The previous prime is 12926908763. The next prime is 12926908801. The reversal of 12926908800 is 880962921.

It is a super-2 number, since 2×129269088002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12926908801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19094062 + ... + 19094738.

Almost surely, 212926908800 is an apocalyptic number.

12926908800 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 12926908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012333600).

12926908800 is an abundant number, since it is smaller than the sum of its proper divisors (41097758400).

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

12926908800 is a wasteful number, since it uses less digits than its factorization.

12926908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12926908800 in words is "twelve billion, nine hundred twenty-six million, nine hundred eight thousand, eight hundred".