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11655145681 = 47222972
BaseRepresentation
bin10101101101011001…
…10110100011010001
31010002021012202011021
422312230312203101
5142332204130211
65204310115441
7561553050364
oct126654664321
933067182137
1011655145681
114a41031503
12231334bb81
13113989080a
147c7cd00db
15483351771
hex2b6b368d1

11655145681 has 9 divisors (see below), whose sum is σ = 11913590299. Its totient is φ = 11402197744.

The previous prime is 11655145673. The next prime is 11655145687. The reversal of 11655145681 is 18654155611.

The square root of 11655145681 is 107959.

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., 5479700625 + 6175445056 = 74025^2 + 78584^2 .

It is not a de Polignac number, because 11655145681 - 23 = 11655145673 is a prime.

It is a super-2 number, since 2×116551456812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11655145687) 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, 5072925 + ... + 5075221.

Almost surely, 211655145681 is an apocalyptic number.

11655145681 is the 107959-th square number.

11655145681 is the 53980-th centered octagonal number.

It is an amenable number.

11655145681 is a deficient number, since it is larger than the sum of its proper divisors (258444618).

11655145681 is an frugal number, since it uses more digits than its factorization.

11655145681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 2344 counting only the distinct ones).

The product of its digits is 144000, while the sum is 43.

The spelling of 11655145681 in words is "eleven billion, six hundred fifty-five million, one hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 47 2209 2297 107959 5074073 5276209 247981823 11655145681