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80172493632 = 2634711219312
BaseRepresentation
bin100101010101010100…
…1110010101101000000
321122221100200122210000
41022222221302231000
52303143124244012
6100455234440000
75535514644330
oct1125251625500
9248840618700
1080172493632
1131001312100
1213655733000
137738aab15a
143c47a3b0c0
1521436e2ddc
hex12aaa72b40

80172493632 has 1260 divisors, whose sum is σ = 324720691680. Its totient is φ = 19091635200.

The previous prime is 80172493619. The next prime is 80172493633. The reversal of 80172493632 is 23639427108.

80172493632 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 2 + 4 + 9 + 3 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80172493633) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2586209457 + ... + 2586209487.

Almost surely, 280172493632 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 80172493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162360345840).

80172493632 is an abundant number, since it is smaller than the sum of its proper divisors (244548198048).

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

80172493632 is a wasteful number, since it uses less digits than its factorization.

80172493632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 80172493632 in words is "eighty billion, one hundred seventy-two million, four hundred ninety-three thousand, six hundred thirty-two".