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86081724705 = 35175313734639
BaseRepresentation
bin101000000101011011…
…1101110000100100001
322020012011221200220010
41100022313232010201
52402243410142310
6103313450035133
76135120405264
oct1201267560441
9266164850803
1086081724705
1133563986949
1214824718aa9
13816b115ca2
14424877ccdb
15238c39b320
hex140adee121

86081724705 has 64 divisors (see below), whose sum is σ = 148724398080. Its totient is φ = 42354364416.

The previous prime is 86081724667. The next prime is 86081724713. The reversal of 86081724705 is 50742718068.

It is not a de Polignac number, because 86081724705 - 219 = 86081200417 is a prime.

It is a super-3 number, since 3×860817247053 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18553776 + ... + 18558414.

It is an arithmetic number, because the mean of its divisors is an integer number (2323818720).

Almost surely, 286081724705 is an apocalyptic number.

86081724705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86081724705 is a deficient number, since it is larger than the sum of its proper divisors (62642673375).

86081724705 is a wasteful number, since it uses less digits than its factorization.

86081724705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090.

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 86081724705 in words is "eighty-six billion, eighty-one million, seven hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 15 17 51 53 85 159 255 265 795 901 1373 2703 4119 4505 4639 6865 13515 13917 20595 23195 23341 69585 70023 72769 78863 116705 218307 236589 245867 350115 363845 394315 737601 1091535 1182945 1229335 1237073 3688005 3711219 4179739 6185365 6369347 12539217 18556095 19108041 20898695 31846735 62696085 95540205 108278899 324836697 337575391 541394495 1012726173 1624183485 1687876955 5063630865 5738781647 17216344941 28693908235 86081724705