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85216044132 = 22329112598367
BaseRepresentation
bin100111101011101000…
…1011010010001100100
322010221212000120101200
41033113101122101210
52344010301403012
6103051523322500
76104506265232
oct1172721322144
9263855016350
1085216044132
113315a26525a
1214622820430
13806097766b
1441a57d7952
15233b39d3dc
hex13d745a464

85216044132 has 36 divisors (see below), whose sum is σ = 215643757056. Its totient is φ = 28374156720.

The previous prime is 85216044127. The next prime is 85216044139. The reversal of 85216044132 is 23144061258.

It is a happy number.

85216044132 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 604 + 41 + 3 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85216044139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266388 + ... + 1331979.

Almost surely, 285216044132 is an apocalyptic number.

It is an amenable number.

85216044132 is an abundant number, since it is smaller than the sum of its proper divisors (130427712924).

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

85216044132 is a wasteful number, since it uses less digits than its factorization.

85216044132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599288 (or 2599283 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 85216044132 in words is "eighty-five billion, two hundred sixteen million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 911 1822 2733 3644 5466 8199 10932 16398 32796 2598367 5196734 7795101 10393468 15590202 23385303 31180404 46770606 93541212 2367112337 4734224674 7101337011 9468449348 14202674022 21304011033 28405348044 42608022066 85216044132