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5331209664 = 2631122941193
BaseRepresentation
bin1001111011100001…
…11100110111000000
3111202112121111210210
410331300330313000
541404242202124
62241002154120
7246053351214
oct47560746700
914675544723
105331209664
112296368800
1210494b2940
1366c666141
1438807a944
1521307ca29
hex13dc3cdc0

5331209664 has 336 divisors, whose sum is σ = 16515344160. Its totient is φ = 1513881600.

The previous prime is 5331209659. The next prime is 5331209699. The reversal of 5331209664 is 4669021335.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27622752 + ... + 27622944.

It is an arithmetic number, because the mean of its divisors is an integer number (49152810).

Almost surely, 25331209664 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 5331209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257672080).

5331209664 is an abundant number, since it is smaller than the sum of its proper divisors (11184134496).

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

5331209664 is a wasteful number, since it uses less digits than its factorization.

5331209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 5331209664 is about 73015.1331163616. The cubic root of 5331209664 is about 1746.9289991805.

The spelling of 5331209664 in words is "five billion, three hundred thirty-one million, two hundred nine thousand, six hundred sixty-four".