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87153077089 = 132227092
BaseRepresentation
bin101000100101010111…
…0100110101101100001
322022221211220001002001
41101022232212231201
52411442141431324
6104012040524001
76203506634521
oct1211256465541
9268854801061
1087153077089
1133a63704841
1214a83480601
1382ac076400
14430ab81681
152401473e44
hex144aba6b61

87153077089 has 9 divisors (see below), whose sum is σ = 94377014553. Its totient is φ = 80445451632.

The previous prime is 87153077069. The next prime is 87153077101. The reversal of 87153077089 is 98077035178.

It is a happy number.

The square root of 87153077089 is 295217.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69941736225 + 17211340864 = 264465^2 + 131192^2 .

It is not a de Polignac number, because 87153077089 - 213 = 87153068897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87153077069) 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, 3826467 + ... + 3849175.

Almost surely, 287153077089 is an apocalyptic number.

87153077089 is the 295217-th square number.

87153077089 is the 147609-th centered octagonal number.

It is an amenable number.

87153077089 is a deficient number, since it is larger than the sum of its proper divisors (7223937464).

87153077089 is an frugal number, since it uses more digits than its factorization.

87153077089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45444 (or 22722 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 87153077089 in words is "eighty-seven billion, one hundred fifty-three million, seventy-seven thousand, eighty-nine".

Divisors: 1 13 169 22709 295217 3837821 515698681 6704082853 87153077089