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80744122368 = 2113272132232
BaseRepresentation
bin100101100110010111…
…0011000100000000000
321201102012022101222200
41023030232120200000
52310330443403433
6101032054433200
75555625500400
oct1131456304000
9251365271880
1080744122368
1131274a52248
1213795062800
1377ca352200
143c9d91a800
1521789a9613
hex12ccb98800

80744122368 has 972 divisors, whose sum is σ = 307077739605. Its totient is φ = 20369276928.

The previous prime is 80744122351. The next prime is 80744122387. The reversal of 80744122368 is 86322144708.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 69038613504 + 11705508864 = 262752^2 + 108192^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=200928.

It is a super-2 number, since 2×807441223682 (a number of 23 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 3510614005 + ... + 3510614027.

Almost surely, 280744122368 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 80744122368

80744122368 is an abundant number, since it is smaller than the sum of its proper divisors (226333617237).

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

80744122368 is a wasteful number, since it uses less digits than its factorization.

80744122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 80744122368 in words is "eighty billion, seven hundred forty-four million, one hundred twenty-two thousand, three hundred sixty-eight".