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86172514701 = 37213175414903
BaseRepresentation
bin101000001000001001…
…0000011100110001101
322020102111210022100120
41100100102003212031
52402440130432301
6103330452015153
76140302201200
oct1202022034615
9266374708316
1086172514701
11336001577a9
121484b0014b9
138183b83690
144256853937
152395331e36
hex141048398d

86172514701 has 96 divisors (see below), whose sum is σ = 152716209408. Its totient is φ = 42692106240.

The previous prime is 86172514697. The next prime is 86172514717. The reversal of 86172514701 is 10741527168.

It is not a de Polignac number, because 86172514701 - 22 = 86172514697 is a prime.

It is a super-2 number, since 2×861725147012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86172514721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17573016 + ... + 17577918.

It is an arithmetic number, because the mean of its divisors is an integer number (1590793848).

Almost surely, 286172514701 is an apocalyptic number.

It is an amenable number.

86172514701 is a deficient number, since it is larger than the sum of its proper divisors (66543694707).

86172514701 is a wasteful number, since it uses less digits than its factorization.

86172514701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 86172514701 in words is "eighty-six billion, one hundred seventy-two million, five hundred fourteen thousand, seven hundred one".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 541 637 663 833 1547 1623 1911 2499 3787 4641 4903 7033 9197 10829 11361 14709 21099 26509 27591 32487 34321 49231 63739 64379 79527 83351 102963 119561 147693 191217 193137 240247 250053 344617 358683 446173 450653 583457 720741 836927 1033851 1083563 1338519 1351959 1750371 2510781 2652523 3123211 3250689 4084199 5858489 7584941 7957569 9369633 12252597 17575467 18567661 22754823 34482799 45092891 53094587 55702983 103448397 129973627 135278673 159283761 241379593 315650237 389920881 586207583 724138779 946950711 1689657151 1758622749 2209551659 4103453081 5068971453 6628654977 12310359243 28724171567 86172514701