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20075632848 = 2432139414117
BaseRepresentation
bin10010101100100110…
…011101100011010000
31220211002211211000100
4102230212131203100
5312103330222343
613120030252400
71310331030555
oct225446354320
956732754010
1020075632848
118572198107
123a83357100
131b7c2692bb
14d86372a2c
157c770a9d3
hex4ac99d8d0

20075632848 has 30 divisors (see below), whose sum is σ = 56183889554. Its totient is φ = 6691877568.

The previous prime is 20075632831. The next prime is 20075632849. The reversal of 20075632848 is 84823657002.

20075632848 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 5 + 632 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14867412624 + 5208220224 = 121932^2 + 72168^2 .

It is a super-2 number, since 2×200756328482 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075632849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69706915 + ... + 69707202.

Almost surely, 220075632848 is an apocalyptic number.

It is an amenable number.

20075632848 is an abundant number, since it is smaller than the sum of its proper divisors (36108256706).

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

20075632848 is a wasteful number, since it uses less digits than its factorization.

20075632848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139414131 (or 139414122 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20075632848 in words is "twenty billion, seventy-five million, six hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 139414117 278828234 418242351 557656468 836484702 1115312936 1254727053 1672969404 2230625872 2509454106 3345938808 5018908212 6691877616 10037816424 20075632848