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20536360704 = 2833231011279
BaseRepresentation
bin10011001000000011…
…111111111100000000
31222000012210012211000
4103020003333330000
5314024302020304
613233445252000
71324624120506
oct231003777400
958005705730
1020536360704
118789270832
123b91704000
131c23850c32
14dcb624676
15802db7939
hex4c80fff00

20536360704 has 288 divisors, whose sum is σ = 64047513600. Its totient is φ = 6477926400.

The previous prime is 20536360697. The next prime is 20536360717. The reversal of 20536360704 is 40706363502.

20536360704 is a `hidden beast` number, since 20 + 536 + 36 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×205363607042 (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 31 ways as a sum of consecutive naturals, for example, 16055937 + ... + 16057215.

It is an arithmetic number, because the mean of its divisors is an integer number (222387200).

Almost surely, 220536360704 is an apocalyptic number.

20536360704 is a gapful number since it is divisible by the number (24) 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 20536360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32023756800).

20536360704 is an abundant number, since it is smaller than the sum of its proper divisors (43511152896).

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

20536360704 is a wasteful number, since it uses less digits than its factorization.

20536360704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 20536360704 in words is "twenty billion, five hundred thirty-six million, three hundred sixty thousand, seven hundred four".