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85827612516 = 223192332636143
BaseRepresentation
bin100111111101110111…
…0010110111101100100
322012112110210110111120
41033323232112331210
52401233332100031
6103232331333540
76125613445362
oct1177356267544
9265473713446
1085827612516
11334434a4678
12147735b12b0
13812a593949
144222b12632
152374e03a96
hex13fbb96f64

85827612516 has 96 divisors (see below), whose sum is σ = 212548976640. Its totient is φ = 26880143616.

The previous prime is 85827612509. The next prime is 85827612569. The reversal of 85827612516 is 61521672858.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13968541 + ... + 13974683.

It is an arithmetic number, because the mean of its divisors is an integer number (2214051840).

Almost surely, 285827612516 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 85827612516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106274488320).

85827612516 is an abundant number, since it is smaller than the sum of its proper divisors (126721364124).

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

85827612516 is a wasteful number, since it uses less digits than its factorization.

85827612516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6663 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 85827612516 in words is "eighty-five billion, eight hundred twenty-seven million, six hundred twelve thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 263 466 526 699 789 932 1052 1398 1578 2796 3156 4427 4997 6143 8854 9994 12286 13281 14991 17708 18429 19988 24572 26562 29982 36858 53124 59964 61279 73716 116717 122558 183837 233434 245116 350151 367674 466868 700302 735348 1164301 1400604 1431319 1615609 2328602 2862638 3231218 3492903 4293957 4657204 4846827 5725276 6462436 6985806 8587914 9693654 13971612 17175828 19387308 27195061 30696571 54390122 61393142 81585183 92089713 108780244 122786284 163170366 184179426 326340732 368358852 376436897 752873794 1129310691 1505747588 2258621382 4517242764 7152301043 14304602086 21456903129 28609204172 42913806258 85827612516