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20557648416 = 253214142171
BaseRepresentation
bin10011001001010101…
…001101001000100000
31222001200211202001210
4103021111031020200
5314100224222131
613235525430120
71325303062014
oct231125151040
958050752053
1020557648416
11879a290588
123b9886b340
131c28095506
14dd03a6544
15804bc0146
hex4c954d220

20557648416 has 24 divisors (see below), whose sum is σ = 53963827344. Its totient is φ = 6852549440.

The previous prime is 20557648399. The next prime is 20557648439. The reversal of 20557648416 is 61484675502.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 3 ways as a sum of consecutive naturals, for example, 107070990 + ... + 107071181.

It is an arithmetic number, because the mean of its divisors is an integer number (2248492806).

Almost surely, 220557648416 is an apocalyptic number.

It is an amenable number.

20557648416 is an abundant number, since it is smaller than the sum of its proper divisors (33406178928).

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

20557648416 is a wasteful number, since it uses less digits than its factorization.

20557648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214142184 (or 214142176 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 20557648416 in words is "twenty billion, five hundred fifty-seven million, six hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 214142171 428284342 642426513 856568684 1284853026 1713137368 2569706052 3426274736 5139412104 6852549472 10278824208 20557648416