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85536361156 = 2225725692
BaseRepresentation
bin100111110101001011…
…1010100101011000100
322011210011202100202011
41033222113110223010
52400134302024111
6103143405024004
76115446034141
oct1175227245304
9264704670664
1085536361156
1133304056174
12146b1b55004
1380b2139c6c
1441d61793c8
152359572021
hex13ea5d4ac4

85536361156 has 27 divisors (see below), whose sum is σ = 150537909319. Its totient is φ = 42526896128.

The previous prime is 85536361123. The next prime is 85536361177. The reversal of 85536361156 is 65116363558.

The square root of 85536361156 is 292466.

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 7145320900 + 78391040256 = 84530^2 + 279984^2 .

It is a Duffinian number.

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, 150327240 + ... + 150327808.

Almost surely, 285536361156 is an apocalyptic number.

85536361156 is the 292466-th square number.

It is an amenable number.

85536361156 is a deficient number, since it is larger than the sum of its proper divisors (65001548163).

85536361156 is an frugal number, since it uses more digits than its factorization.

85536361156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 828 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 49.

Multiplying 85536361156 by its sum of digits (49), we get a square (4191281696644 = 20472622).

The spelling of 85536361156 in words is "eighty-five billion, five hundred thirty-six million, three hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 257 514 569 1028 1138 2276 66049 132098 146233 264196 292466 323761 584932 647522 1295044 37581881 75163762 83206577 150327524 166413154 332826308 21384090289 42768180578 85536361156