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12850929000 = 23325371321771
BaseRepresentation
bin10111111011111100…
…11001110101101000
31020011121021211111100
423331332121311220
5202304314212000
65523104001400
7633313044210
oct137576316550
936147254440
1012850929000
1154a5018188
1225a7900260
13129a539900
1489ca43240
15503307a00
hex2fdf99d68

12850929000 has 1152 divisors, whose sum is σ = 57717204480. Its totient is φ = 2515968000.

The previous prime is 12850928999. The next prime is 12850929001. The reversal of 12850929000 is 92905821.

12850929000 is a `hidden beast` number, since 128 + 509 + 29 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12850928999) and next prime (12850929001).

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

It is not an unprimeable number, because it can be changed into a prime (12850929001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 180998965 + ... + 180999035.

It is an arithmetic number, because the mean of its divisors is an integer number (50101740).

Almost surely, 212850929000 is an apocalyptic number.

12850929000 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 12850929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858602240).

12850929000 is an abundant number, since it is smaller than the sum of its proper divisors (44866275480).

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

12850929000 is a wasteful number, since it uses less digits than its factorization.

12850929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12850929000 in words is "twelve billion, eight hundred fifty million, nine hundred twenty-nine thousand".