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22535601057 = 3630913033
BaseRepresentation
bin10100111111001110…
…011111101110100001
32011011112201011000000
4110333032133232201
5332123103213212
614204104050213
71425311306544
oct247716375641
964145634000
1022535601057
119614839692
12444b163969
132181ac05a8
14113ad6285b
158bd67a1dc
hex53f39fba1

22535601057 has 14 divisors (see below), whose sum is σ = 33787946162. Its totient is φ = 15023733552.

The previous prime is 22535601037. The next prime is 22535601103. The reversal of 22535601057 is 75010653522.

22535601057 is a `hidden beast` number, since 2 + 2 + 535 + 60 + 10 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17268325281 + 5267275776 = 131409^2 + 72576^2 .

It is not a de Polignac number, because 22535601057 - 210 = 22535600033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22535601037) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15455788 + ... + 15457245.

Almost surely, 222535601057 is an apocalyptic number.

22535601057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22535601057 is a deficient number, since it is larger than the sum of its proper divisors (11252345105).

22535601057 is an frugal number, since it uses more digits than its factorization.

22535601057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30913051 (or 30913036 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 22535601057 in words is "twenty-two billion, five hundred thirty-five million, six hundred one thousand, fifty-seven".

Divisors: 1 3 9 27 81 243 729 30913033 92739099 278217297 834651891 2503955673 7511867019 22535601057