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55186936561 = 34726772
BaseRepresentation
bin110011011001011001…
…011101001011110001
312021110001221211221101
4303121121131023301
51401010323432221
641204051324401
73662404135531
oct633131351361
9167401854841
1055186936561
112144a650289
12a841bb0701
135286560863
1429575734c1
15167ee24d91
hexcd965d2f1

55186936561 has 9 divisors (see below), whose sum is σ = 55428308299. Its totient is φ = 54946614424.

The previous prime is 55186936531. The next prime is 55186936583. The reversal of 55186936561 is 16563968155.

The square root of 55186936561 is 234919.

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

It can be written as a sum of positive squares in only one way, i.e., 54861350625 + 325585936 = 234225^2 + 18044^2 .

It is not a de Polignac number, because 55186936561 - 213 = 55186928369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55186936501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81516555 + ... + 81517231.

Almost surely, 255186936561 is an apocalyptic number.

55186936561 is the 234919-th square number.

55186936561 is the 117460-th centered octagonal number.

It is an amenable number.

55186936561 is a deficient number, since it is larger than the sum of its proper divisors (241371738).

55186936561 is an frugal number, since it uses more digits than its factorization.

55186936561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1024 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 55.

The spelling of 55186936561 in words is "fifty-five billion, one hundred eighty-six million, nine hundred thirty-six thousand, five hundred sixty-one".

Divisors: 1 347 677 120409 234919 458329 81516893 159040163 55186936561