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20653464420 = 22325114741469
BaseRepresentation
bin10011001111000010…
…101101101101100100
31222022101010200220200
4103033002231231210
5314244241330140
613253231230500
71330545356661
oct231702555544
958271120820
1020653464420
118839384566
124004978430
131c41ba2784
14ddcdc8a68
1580d2ea030
hex4cf0adb64

20653464420 has 36 divisors (see below), whose sum is σ = 62648842620. Its totient is φ = 5507590464.

The previous prime is 20653464389. The next prime is 20653464431. The reversal of 20653464420 is 2446435602.

20653464420 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 3 + 4 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13750845696 + 6902618724 = 117264^2 + 83082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57370555 + ... + 57370914.

Almost surely, 220653464420 is an apocalyptic number.

20653464420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20653464420 is an abundant number, since it is smaller than the sum of its proper divisors (41995378200).

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

20653464420 is a wasteful number, since it uses less digits than its factorization.

20653464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114741484 (or 114741479 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20653464420 in words is "twenty billion, six hundred fifty-three million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 114741469 229482938 344224407 458965876 573707345 688448814 1032673221 1147414690 1376897628 1721122035 2065346442 2294829380 3442244070 4130692884 5163366105 6884488140 10326732210 20653464420