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82328699376 = 2436711312957
BaseRepresentation
bin100110010101100101…
…1000100000111110000
321212111121222021000000
41030223023010013300
52322102121340001
6101453221430000
75643116253420
oct1145313040760
9255447867000
1082328699376
1131a0844a420
1213b5786b300
1379c0717c41
143db0158480
15221cb5da86
hex132b2c41f0

82328699376 has 560 divisors, whose sum is σ = 307894007808. Its totient is φ = 20687270400.

The previous prime is 82328699357. The next prime is 82328699389. The reversal of 82328699376 is 67399682328.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27840490 + ... + 27843446.

Almost surely, 282328699376 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 82328699376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153947003904).

82328699376 is an abundant number, since it is smaller than the sum of its proper divisors (225565308432).

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

82328699376 is a wasteful number, since it uses less digits than its factorization.

82328699376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3011 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 82328699376 in words is "eighty-two billion, three hundred twenty-eight million, six hundred ninety-nine thousand, three hundred seventy-six".