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80641624320 = 28325173137359
BaseRepresentation
bin100101100011010011…
…1011000100100000000
321201011001102222002200
41023012213120210000
52310123223434240
6101013553513200
75553242332305
oct1130647304400
9251131388080
1080641624320
1131222104a14
1213766872800
1377b204568a
143c900790ac
15216e9ae930
hex12c69d8900

80641624320 has 864 divisors, whose sum is σ = 314068285440. Its totient is φ = 19004129280.

The previous prime is 80641624313. The next prime is 80641624373. The reversal of 80641624320 is 2342614608.

80641624320 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 1 + 624 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224628301 + ... + 224628659.

It is an arithmetic number, because the mean of its divisors is an integer number (363504960).

Almost surely, 280641624320 is an apocalyptic number.

80641624320 is a gapful number since it is divisible by the number (80) 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 80641624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034142720).

80641624320 is an abundant number, since it is smaller than the sum of its proper divisors (233426661120).

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

80641624320 is a wasteful number, since it uses less digits than its factorization.

80641624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 80641624320 in words is "eighty billion, six hundred forty-one million, six hundred twenty-four thousand, three hundred twenty".