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20475189504 = 2833711173173
BaseRepresentation
bin10011000100011010…
…101001100100000000
31221211221200101201000
4103010122221210000
5313413122031004
613223422212000
71323252145020
oct230432514400
957757611630
1020475189504
11875778aa20
123b75124000
131c13c83b63
14dc345da80
157ec832c39
hex4c46a9900

20475189504 has 1152 divisors, whose sum is σ = 83638517760. Its totient is φ = 4777574400.

The previous prime is 20475189499. The next prime is 20475189529. The reversal of 20475189504 is 40598157402.

20475189504 is a `hidden beast` number, since 2 + 0 + 47 + 518 + 95 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 20475189504.

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, 280482012 + ... + 280482084.

It is an arithmetic number, because the mean of its divisors is an integer number (72602880).

Almost surely, 220475189504 is an apocalyptic number.

20475189504 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 20475189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41819258880).

20475189504 is an abundant number, since it is smaller than the sum of its proper divisors (63163328256).

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

20475189504 is a wasteful number, since it uses less digits than its factorization.

20475189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20475189504 in words is "twenty billion, four hundred seventy-five million, one hundred eighty-nine thousand, five hundred four".