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80265112704 = 27337193143131
BaseRepresentation
bin100101011000000101…
…1000110110010000000
321200011210222012021000
41022300023012302000
52303340332101304
6100512343532000
75541021125640
oct1126013066200
9250153865230
1080265112704
1131049622197
121368075a000
13775203923a
143c5606a520
15214b8da939
hex12b02c6c80

80265112704 has 1024 divisors, whose sum is σ = 303316992000. Its totient is φ = 20379340800.

The previous prime is 80265112691. The next prime is 80265112751. The reversal of 80265112704 is 40721156208.

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

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 127 ways as a sum of consecutive naturals, for example, 612710719 + ... + 612710849.

It is an arithmetic number, because the mean of its divisors is an integer number (296208000).

Almost surely, 280265112704 is an apocalyptic number.

80265112704 is a gapful number since it is divisible by the number (84) 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 80265112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151658496000).

80265112704 is an abundant number, since it is smaller than the sum of its proper divisors (223051879296).

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

80265112704 is a wasteful number, since it uses less digits than its factorization.

80265112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 80265112704 in words is "eighty billion, two hundred sixty-five million, one hundred twelve thousand, seven hundred four".