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85158144512 = 29730797717
BaseRepresentation
bin100111101001111010…
…0100010101000000000
322010210211001222001022
41033103310202220000
52343400441111022
6103042054325012
76103204166540
oct1172364425000
9263724058038
1085158144512
113312a609431
1214607359768
13805198472c
14419bc45320
152336262c42
hex13d3d22a00

85158144512 has 80 divisors (see below), whose sum is σ = 194545464960. Its totient is φ = 36479766528.

The previous prime is 85158144499. The next prime is 85158144541. The reversal of 85158144512 is 21544185158.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11031278 + ... + 11038994.

It is an arithmetic number, because the mean of its divisors is an integer number (2431818312).

Almost surely, 285158144512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85158144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97272732480).

85158144512 is an abundant number, since it is smaller than the sum of its proper divisors (109387320448).

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

85158144512 is an equidigital number, since it uses as much as digits as its factorization.

85158144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10805 counting only the distinct ones).

The product of its digits is 256000, while the sum is 44.

The spelling of 85158144512 in words is "eighty-five billion, one hundred fifty-eight million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3079 3584 6158 7717 12316 15434 21553 24632 30868 43106 49264 54019 61736 86212 98528 108038 123472 172424 197056 216076 246944 344848 394112 432152 493888 689696 788224 864304 987776 1379392 1576448 1728608 1975552 2758784 3457216 3951104 5517568 6914432 11035136 13828864 23760643 27657728 47521286 95042572 166324501 190085144 332649002 380170288 665298004 760340576 1330596008 1520681152 2661192016 3041362304 5322384032 6082724608 10644768064 12165449216 21289536128 42579072256 85158144512