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202427106561 = 34499912
BaseRepresentation
bin1011110010000110011…
…0001000010100000001
3201100111111022110210000
42330201212020110001
511304032314402221
6232554351230213
720424222005301
oct2744146102401
9640444273700
10202427106561
1178937908299
1233294518369
1316120108ac4
149b24599601
1553eb5a1e26
hex2f21988501

202427106561 has 15 divisors (see below), whose sum is σ = 302397158833. Its totient is φ = 134948704860.

The previous prime is 202427106529. The next prime is 202427106571. The reversal of 202427106561 is 165601724202.

It is a happy number.

The square root of 202427106561 is 449919.

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

202427106561 is a `hidden beast` number, since 2 + 0 + 24 + 2 + 71 + 0 + 6 + 561 = 666.

It is not a de Polignac number, because 202427106561 - 25 = 202427106529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202427106521) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4024276 + ... + 4074266.

Almost surely, 2202427106561 is an apocalyptic number.

202427106561 is the 449919-th square number.

202427106561 is the 224960-th centered octagonal number.

It is an amenable number.

202427106561 is a deficient number, since it is larger than the sum of its proper divisors (99970052272).

202427106561 is an frugal number, since it uses more digits than its factorization.

202427106561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99994 (or 49994 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 202427106561 by its sum of digits (36), we get a square (7287375836196 = 26995142).

The spelling of 202427106561 in words is "two hundred two billion, four hundred twenty-seven million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 49991 149973 449919 1349757 4049271 2499100081 7497300243 22491900729 67475702187 202427106561