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88080384132 = 223213414590389
BaseRepresentation
bin101001000001000000…
…0000000000010000100
322102100110210010012100
41102002000000002010
52420342034243012
6104244044152100
76235466624556
oct1220200000204
9272313703170
1088080384132
113439a0982a4
12150a1b38630
1383c92110c0
144397da94d6
152457a968dc
hex1482000084

88080384132 has 72 divisors (see below), whose sum is σ = 245622588120. Its totient is φ = 26440634880.

The previous prime is 88080384131. The next prime is 88080384157. The reversal of 88080384132 is 23148308088.

It can be written as a sum of positive squares in 4 ways, for example, as 1436106816 + 86644277316 = 37896^2 + 294354^2 .

It is not an unprimeable number, because it can be changed into a prime (88080384131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276007 + ... + 2314382.

It is an arithmetic number, because the mean of its divisors is an integer number (3411424835).

Almost surely, 288080384132 is an apocalyptic number.

88080384132 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

88080384132 is an abundant number, since it is smaller than the sum of its proper divisors (157542203988).

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

88080384132 is a wasteful number, since it uses less digits than its factorization.

88080384132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590453 (or 4590448 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 88080384132 in words is "eighty-eight billion, eighty million, three hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 9594 19188 4590389 9180778 13771167 18361556 27542334 41313501 55084668 59675057 82627002 119350114 165254004 179025171 188205949 238700228 358050342 376411898 537075513 564617847 716100684 752823796 1074151026 1129235694 1693853541 2148302052 2258471388 2446677337 3387707082 4893354674 6775414164 7340032011 9786709348 14680064022 22020096033 29360128044 44040192066 88080384132