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20732928864 = 253673732057
BaseRepresentation
bin10011010011110001…
…110110001101100000
31222111220122220122020
4103103301312031200
5314430112210424
613305150341440
71332531662514
oct232361661540
958456586566
1020732928864
11887a21a35a
1240274ba880
131c554a615b
141009792144
15815295079
hex4d3c76360

20732928864 has 48 divisors (see below), whose sum is σ = 54433714608. Its totient is φ = 6909734912.

The previous prime is 20732928857. The next prime is 20732928871. The reversal of 20732928864 is 46882923702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20732928857) and next prime (20732928871).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 630724 + ... + 662780.

It is an arithmetic number, because the mean of its divisors is an integer number (1134035721).

Almost surely, 220732928864 is an apocalyptic number.

20732928864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20732928864 is an abundant number, since it is smaller than the sum of its proper divisors (33700785744).

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

20732928864 is a wasteful number, since it uses less digits than its factorization.

20732928864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38807 (or 38799 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 20732928864 in words is "twenty billion, seven hundred thirty-two million, nine hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6737 13474 20211 26948 32057 40422 53896 64114 80844 96171 107792 128228 161688 192342 215584 256456 323376 384684 512912 646752 769368 1025824 1538736 3077472 215968009 431936018 647904027 863872036 1295808054 1727744072 2591616108 3455488144 5183232216 6910976288 10366464432 20732928864