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21664500048 = 2432228165957
BaseRepresentation
bin10100001011010011…
…100000100101010000
32001220211120122001200
4110023103200211100
5323332103000143
613541425231200
71364603132502
oct241323404520
961824518050
1021664500048
1192080555a4
124247492500
1320734a49c9
1410973a9d72
1586be5b1d3
hex50b4e0950

21664500048 has 60 divisors (see below), whose sum is σ = 60658010868. Its totient is φ = 7218224640.

The previous prime is 21664500043. The next prime is 21664500097. The reversal of 21664500048 is 84000546612.

21664500048 is a `hidden beast` number, since 2 + 1 + 6 + 645 + 0 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12323664144 + 9340835904 = 111012^2 + 96648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21664499985 and 21664500021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21664500043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 295486 + ... + 361442.

Almost surely, 221664500048 is an apocalyptic number.

It is an amenable number.

21664500048 is an abundant number, since it is smaller than the sum of its proper divisors (38993510820).

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

21664500048 is a wasteful number, since it uses less digits than its factorization.

21664500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68252 (or 68243 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21664500048 in words is "twenty-one billion, six hundred sixty-four million, five hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2281 4562 6843 9124 13686 18248 20529 27372 36496 41058 54744 65957 82116 109488 131914 164232 197871 263828 328464 395742 527656 593613 791484 1055312 1187226 1582968 2374452 3165936 4748904 9497808 150447917 300895834 451343751 601791668 902687502 1203583336 1354031253 1805375004 2407166672 2708062506 3610750008 5416125012 7221500016 10832250024 21664500048