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87901576324 = 2253227972
BaseRepresentation
bin101000111011101010…
…1111001110010000100
322101220000022201222221
41101313111321302010
52420010300420244
6104214215502124
76231166033162
oct1216725716204
9271800281887
1087901576324
113430816a351
1215052087944
13839b166a73
14437c342232
152447026784
hex1477579c84

87901576324 has 27 divisors (see below), whose sum is σ = 156841006287. Its totient is φ = 43106110944.

The previous prime is 87901576297. The next prime is 87901576327. The reversal of 87901576324 is 42367510978.

The square root of 87901576324 is 296482.

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 18627336324 + 69274240000 = 136482^2 + 263200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87901576327) by changing a digit.

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, 31425694 + ... + 31428490.

It is a 1-persistent number, because it is pandigital, but 2⋅87901576324 = 175803152648 is not.

Almost surely, 287901576324 is an apocalyptic number.

87901576324 is the 296482-nd square number.

It is an amenable number.

87901576324 is a deficient number, since it is larger than the sum of its proper divisors (68939429963).

87901576324 is an frugal number, since it uses more digits than its factorization.

87901576324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

It can be divided in two parts, 87901 and 576324, that added together give a square (664225 = 8152).

The spelling of 87901576324 in words is "eighty-seven billion, nine hundred one million, five hundred seventy-six thousand, three hundred twenty-four".

Divisors: 1 2 4 53 106 212 2797 2809 5594 5618 11188 11236 148241 296482 592964 7823209 7856773 15646418 15713546 31292836 31427092 414630077 829260154 1658520308 21975394081 43950788162 87901576324