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86227180414137 = 32713437110185869
BaseRepresentation
bin10011100110110001010100…
…011101010110010010111001
3102022022020102110102100201200
4103212301110131112102321
542300221231141223022
6503220115252204413
724106464625233450
oct2346612435262271
9368266373370650
1086227180414137
1125524818451174
1298074a4309709
13391625a6ac269
1417415bc62bb97
159e7e78166bac
hex4e6c547564b9

86227180414137 has 24 divisors (see below), whose sum is σ = 142344355258560. Its totient is φ = 49272302993760.

The previous prime is 86227180414091. The next prime is 86227180414157. The reversal of 86227180414137 is 73141408172268.

86227180414137 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 7 + 180 + 41 + 413 + 7 = 666.

It is not a de Polignac number, because 86227180414137 - 218 = 86227180151993 is a prime.

It is a super-3 number, since 3×862271804141373 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86227180414157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372439 + ... + 13558307.

It is an arithmetic number, because the mean of its divisors is an integer number (5931014802440).

Almost surely, 286227180414137 is an apocalyptic number.

It is an amenable number.

86227180414137 is a deficient number, since it is larger than the sum of its proper divisors (56117174844423).

86227180414137 is a wasteful number, since it uses less digits than its factorization.

86227180414137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320253 (or 10320250 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 86227180414137 in words is "eighty-six trillion, two hundred twenty-seven billion, one hundred eighty million, four hundred fourteen thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 63 134371 403113 940597 1209339 2821791 8465373 10185869 30557607 71301083 91672821 213903249 641709747 1368685403399 4106056210197 9580797823793 12318168630591 28742393471379 86227180414137