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20046574080 = 29325131731127
BaseRepresentation
bin10010101010110111…
…100111001000000000
31220202002011110212200
4102222313213020000
5312023410332310
613113111353200
71306526032251
oct225267471000
956662143780
1020046574080
11855784a8a5
123a75682800
131b76233870
14d8256ab28
157c4dba9c0
hex4aade7200

20046574080 has 960 divisors, whose sum is σ = 82362728448. Its totient is φ = 4459069440.

The previous prime is 20046574043. The next prime is 20046574127. The reversal of 20046574080 is 8047564002.

20046574080 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 6 + 574 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157846977 + ... + 157847103.

Almost surely, 220046574080 is an apocalyptic number.

20046574080 is a gapful number since it is divisible by the number (20) 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 20046574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41181364224).

20046574080 is an abundant number, since it is smaller than the sum of its proper divisors (62316154368).

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

20046574080 is a wasteful number, since it uses less digits than its factorization.

20046574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20046574080 in words is "twenty billion, forty-six million, five hundred seventy-four thousand, eighty".