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812908928832 = 2637111331472903
BaseRepresentation
bin10111101010001010010…
…01011101111101000000
32212201021000120021021220
423311011021131331000
5101304314141210312
61421240055315040
7112505432613030
oct13650511357500
92781230507256
10812908928832
11293830997020
1211166967ba80
135b8705129c0
142b4b89858c0
151622b754c8c
hexbd4525df40

812908928832 has 896 divisors, whose sum is σ = 3045445337088. Its totient is φ = 184539340800.

The previous prime is 812908928813. The next prime is 812908928857. The reversal of 812908928832 is 238829809218.

It is a happy number.

812908928832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280022293 + ... + 280025195.

It is an arithmetic number, because the mean of its divisors is an integer number (3398934528).

Almost surely, 2812908928832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812908928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522722668544).

812908928832 is an abundant number, since it is smaller than the sum of its proper divisors (2232536408256).

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

812908928832 is a wasteful number, since it uses less digits than its factorization.

812908928832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 812908928832 in words is "eight hundred twelve billion, nine hundred eight million, nine hundred twenty-eight thousand, eight hundred thirty-two".