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80865872640 = 2833571973241
BaseRepresentation
bin100101101001111111…
…0110100101100000000
321201201200101221222000
41023103332310230000
52311103130411030
6101052124144000
75561634401430
oct1132376645400
9251650357860
1080865872640
113132774a003
1213809998000
13781963c9a7
143cb1b702c0
152184508860
hex12d3fb4b00

80865872640 has 1152 divisors, whose sum is σ = 351397939200. Its totient is φ = 17199267840.

The previous prime is 80865872603. The next prime is 80865872653. The reversal of 80865872640 is 4627856808.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 335542920 + ... + 335543160.

Almost surely, 280865872640 is an apocalyptic number.

80865872640 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 80865872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175698969600).

80865872640 is an abundant number, since it is smaller than the sum of its proper divisors (270532066560).

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

80865872640 is a wasteful number, since it uses less digits than its factorization.

80865872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 80865872640 in words is "eighty billion, eight hundred sixty-five million, eight hundred seventy-two thousand, six hundred forty".