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20264091904 = 2872312412
BaseRepresentation
bin10010110111110101…
…011000000100000000
31221022020110112020101
4102313311120010000
5313000101420104
613150441452144
71315106640100
oct226765300400
957266415211
1020264091904
1186596081a1
123b164a1054
131bac312534
14da33cd200
157d90355a4
hex4b7d58100

20264091904 has 243 divisors, whose sum is σ = 49834520253. Its totient is φ = 8199475200.

The previous prime is 20264091889. The next prime is 20264091917. The reversal of 20264091904 is 40919046202.

It is a happy number.

The square root of 20264091904 is 142352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 19287654400 = 31248^2 + 138880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494246124 + ... + 494246164.

Almost surely, 220264091904 is an apocalyptic number.

20264091904 is the 142352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264091904

20264091904 is an abundant number, since it is smaller than the sum of its proper divisors (29570428349).

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

20264091904 is an frugal number, since it uses more digits than its factorization.

20264091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 20264091904 in words is "twenty billion, two hundred sixty-four million, ninety-one thousand, nine hundred four".