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20475565464312 = 23337293118238263
BaseRepresentation
bin1001010011111010101101…
…10011100101101011111000
32200111110000100210012022000
410221331112303211223320
510140432424224324222
6111314202300301000
74212211412540010
oct451752663455370
980443010705260
1020475565464312
1165847029a9192
122368375541760
13b56ab70c156a
1450b046250c40
1525793a7919ac
hex129f56ce5af8

20475565464312 has 512 divisors, whose sum is σ = 69458853888000. Its totient is φ = 5462564728320.

The previous prime is 20475565464301. The next prime is 20475565464329. The reversal of 20475565464312 is 21346456557402.

It is a happy number.

20475565464312 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 5 + 56 + 546 + 43 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2477977893 + ... + 2477986155.

It is an arithmetic number, because the mean of its divisors is an integer number (135661824000).

Almost surely, 220475565464312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20475565464312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34729426944000).

20475565464312 is an abundant number, since it is smaller than the sum of its proper divisors (48983288423688).

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

20475565464312 is a wasteful number, since it uses less digits than its factorization.

20475565464312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10168 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 20475565464312 in words is "twenty trillion, four hundred seventy-five billion, five hundred sixty-five million, four hundred sixty-four thousand, three hundred twelve".