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20653413660 = 223251110431017
BaseRepresentation
bin10011001111000010…
…100001010100011100
31222022101001010021200
4103033002201110130
5314244233214120
613253230155500
71330545055665
oct231702412434
958271033250
1020653413660
11883934a410
124004952b90
131c41b85639
14ddcdb436c
1580d2d9e90
hex4cf0a151c

20653413660 has 72 divisors (see below), whose sum is σ = 68344029936. Its totient is φ = 5006887680.

The previous prime is 20653413659. The next prime is 20653413673. The reversal of 20653413660 is 6631435602.

20653413660 is a `hidden beast` number, since 206 + 53 + 41 + 366 + 0 = 666.

It is a super-2 number, since 2×206534136602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5213529 + ... + 5217488.

It is an arithmetic number, because the mean of its divisors is an integer number (949222638).

Almost surely, 220653413660 is an apocalyptic number.

20653413660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20653413660 is an abundant number, since it is smaller than the sum of its proper divisors (47690616276).

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

20653413660 is a wasteful number, since it uses less digits than its factorization.

20653413660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431043 (or 10431038 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20653413660 in words is "twenty billion, six hundred fifty-three million, four hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10431017 20862034 31293051 41724068 52155085 62586102 93879153 104310170 114741187 125172204 156465255 187758306 208620340 229482374 312930510 344223561 375516612 458964748 469395765 573705935 625861020 688447122 938791530 1032670683 1147411870 1376894244 1721117805 1877583060 2065341366 2294823740 3442235610 4130682732 5163353415 6884471220 10326706830 20653413660