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80096143680 = 263557374197
BaseRepresentation
bin100101010011000011…
…0100010100101000000
321122202001000200100000
41022212012202211000
52303014103044210
6100443510200000
75533566662610
oct1124606424500
9248661020300
1080096143680
1130a72204273
1213634053000
137726028277
143c3b844a40
15213bb60ac0
hex12a61a2940

80096143680 has 1344 divisors, whose sum is σ = 347060593152. Its totient is φ = 17199267840.

The previous prime is 80096143679. The next prime is 80096143693. The reversal of 80096143680 is 8634169008.

80096143680 is a `hidden beast` number, since 80 + 0 + 9 + 61 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825733392 + ... + 825733488.

It is an arithmetic number, because the mean of its divisors is an integer number (258229608).

Almost surely, 280096143680 is an apocalyptic number.

80096143680 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 80096143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173530296576).

80096143680 is an abundant number, since it is smaller than the sum of its proper divisors (266964449472).

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

80096143680 is a wasteful number, since it uses less digits than its factorization.

80096143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80096143680 in words is "eighty billion, ninety-six million, one hundred forty-three thousand, six hundred eighty".