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86010046102431 = 3311587493349429
BaseRepresentation
bin10011100011100111000110…
…001111101011101110011111
3102021112110221222220110022000
4103203213012033223232133
542233142033300234211
6502532245242253343
724055010060106063
oct2343470617535637
9367473858813260
1086010046102431
1125450723824a90
1297913a64b7253
1338cb935601809
141734ca0aa7aa3
159e24ba839656
hex4e39c63ebb9f

86010046102431 has 32 divisors (see below), whose sum is σ = 139242943123200. Its totient is φ = 52038497665440.

The previous prime is 86010046102429. The next prime is 86010046102457. The reversal of 86010046102431 is 13420164001068.

86010046102431 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 0 + 0 + 4 + 610 + 2 + 4 + 31 = 666.

It is not a de Polignac number, because 86010046102431 - 21 = 86010046102429 is a prime.

It is a super-2 number, since 2×860100461024312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86010046102831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246500376 + ... + 246849053.

It is an arithmetic number, because the mean of its divisors is an integer number (4351341972600).

Almost surely, 286010046102431 is an apocalyptic number.

86010046102431 is a deficient number, since it is larger than the sum of its proper divisors (53232897020769).

86010046102431 is a wasteful number, since it uses less digits than its factorization.

86010046102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493350036 (or 493350030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 86010046102431 in words is "eighty-six trillion, ten billion, forty-six million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 587 1761 5283 6457 15849 19371 58113 174339 493349429 1480048287 4440144861 5426843719 13320434583 16280531157 48841593471 146524780413 289596114823 868788344469 2606365033407 3185557263053 7819095100221 9556671789159 28670015367477 86010046102431