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20456960832 = 263571121553
BaseRepresentation
bin10011000011010101…
…000111001101000000
31221210200101021200000
4103003111013031000
5313343440221312
613221531400000
71322641204140
oct230325071500
957720337600
1020456960832
11874846a500
123b6abb3000
131c10270a69
14dc0c76920
157eae31adc
hex4c3547340

20456960832 has 504 divisors, whose sum is σ = 76435963968. Its totient is φ = 5310074880.

The previous prime is 20456960819. The next prime is 20456960833. The reversal of 20456960832 is 23806965402.

20456960832 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 6 + 9 + 608 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456960833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13171768 + ... + 13173320.

Almost surely, 220456960832 is an apocalyptic number.

20456960832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20456960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217981984).

20456960832 is an abundant number, since it is smaller than the sum of its proper divisors (55979003136).

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

20456960832 is a wasteful number, since it uses less digits than its factorization.

20456960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20456960832 in words is "twenty billion, four hundred fifty-six million, nine hundred sixty thousand, eight hundred thirty-two".