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87229961928 = 2332348072
BaseRepresentation
bin101000100111101001…
…1111001011011001000
322100011012120012020200
41101033103321123020
52412121332240203
6104023424452200
76205432304544
oct1211723713310
9270135505220
1087229961928
1133aa304852a
1214aa517a060
1382c1c858b5
144317076a24
1524080ae9a3
hex144f4f96c8

87229961928 has 36 divisors (see below), whose sum is σ = 236254601115. Its totient is φ = 29075818608.

The previous prime is 87229961887. The next prime is 87229961933. The reversal of 87229961928 is 82916992278.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87229961928 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 9 + 9 + 619 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43614980964 + 43614980964 = 208842^2 + 208842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=208842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2488701 + ... + 2523507.

Almost surely, 287229961928 is an apocalyptic number.

It is an amenable number.

87229961928 is an abundant number, since it is smaller than the sum of its proper divisors (149024639187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87229961928 is an frugal number, since it uses more digits than its factorization.

87229961928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69626 (or 34812 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 87229961928 in words is "eighty-seven billion, two hundred twenty-nine million, nine hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 34807 69614 104421 139228 208842 278456 313263 417684 626526 835368 1253052 2506104 1211527249 2423054498 3634581747 4846108996 7269163494 9692217992 10903745241 14538326988 21807490482 29076653976 43614980964 87229961928