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8053426676736 = 21032724121032
BaseRepresentation
bin111010100110001010110…
…1000101110010000000000
31001111220022011002210021100
41311030111220232100000
52023421404212123421
625043405415054400
71460561264164200
oct165142550562000
931456264083240
108053426676736
112625491452231
12aa0984371400
1346558656a14c
141dbb06122400
15de74c581c26
hex75315a2e400

8053426676736 has 891 divisors, whose sum is σ = 27998349662673. Its totient is φ = 2223062876160.

The previous prime is 8053426676693. The next prime is 8053426676759. The reversal of 8053426676736 is 6376766243508.

The square root of 8053426676736 is 2837856.

It is a perfect power (a square), and thus also a powerful number.

8053426676736 is a `hidden beast` number, since 8 + 0 + 534 + 2 + 6 + 6 + 7 + 67 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 388059227136 + 7665367449600 = 622944^2 + 2768640^2 .

It is a super-2 number, since 2×80534266767362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78188608461 + ... + 78188608563.

Almost surely, 28053426676736 is an apocalyptic number.

8053426676736 is the 2837856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8053426676736

8053426676736 is an abundant number, since it is smaller than the sum of its proper divisors (19944922985937).

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

8053426676736 is a wasteful number, since it uses less digits than its factorization.

8053426676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 8053426676736 in words is "eight trillion, fifty-three billion, four hundred twenty-six million, six hundred seventy-six thousand, seven hundred thirty-six".