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80418465792 = 211337373557
BaseRepresentation
bin100101011100101010…
…0000110100000000000
321200120111112100011000
41022321110012200000
52304144111401132
6100535502452000
75544562452330
oct1127124064000
9250514470130
1080418465792
1131118144685
1213703b94000
137777a40402
143c6c5890c0
15215a0cd87c
hex12b9506800

80418465792 has 384 divisors, whose sum is σ = 273469996800. Its totient is φ = 22873964544.

The previous prime is 80418465773. The next prime is 80418465817. The reversal of 80418465792 is 29756481408.

It is a happy number.

80418465792 is a `hidden beast` number, since 80 + 4 + 18 + 465 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 144377578 + ... + 144378134.

It is an arithmetic number, because the mean of its divisors is an integer number (712161450).

Almost surely, 280418465792 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 80418465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734998400).

80418465792 is an abundant number, since it is smaller than the sum of its proper divisors (193051531008).

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

80418465792 is a wasteful number, since it uses less digits than its factorization.

80418465792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80418465792 in words is "eighty billion, four hundred eighteen million, four hundred sixty-five thousand, seven hundred ninety-two".