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80313192960 = 29357111331337
BaseRepresentation
bin100101011001100001…
…0100001001000000000
321200022011102220222020
41022303002201020000
52303440134133320
6100521222241440
75542143606420
oct1126302411000
9250264386866
1080313192960
1131073781640
1213694886280
13775bca18b0
143c5c5c4480
152150c36940
hex12b30a1200

80313192960 has 1280 divisors, whose sum is σ = 356905156608. Its totient is φ = 14863564800.

The previous prime is 80313192937. The next prime is 80313192977. The reversal of 80313192960 is 6929131308.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238317912 + ... + 238318248.

Almost surely, 280313192960 is an apocalyptic number.

80313192960 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 80313192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178452578304).

80313192960 is an abundant number, since it is smaller than the sum of its proper divisors (276591963648).

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

80313192960 is a wasteful number, since it uses less digits than its factorization.

80313192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 80313192960 in words is "eighty billion, three hundred thirteen million, one hundred ninety-two thousand, nine hundred sixty".