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86100414179973 = 33110931726793937
BaseRepresentation
bin10011100100111011010000…
…100110100010101010000101
3102021212010012220101102212220
4103210323100212202222011
542241132122012224343
6503041552332002553
724064356346101024
oct2344732046425205
9367763186342786
1086100414179973
1125485a87198196
1297a6a06600459
13390730776934b
1417393d481a8bb
159e4a09171183
hex4e4ed09a2a85

86100414179973 has 32 divisors (see below), whose sum is σ = 119968249758720. Its totient is φ = 54865406868480.

The previous prime is 86100414179963. The next prime is 86100414179981. The reversal of 86100414179973 is 37997141400168.

It is a happy number.

It is not a de Polignac number, because 86100414179973 - 228 = 86100145744517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86100414179963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10183540 + ... + 16610397.

It is an arithmetic number, because the mean of its divisors is an integer number (3749007804960).

Almost surely, 286100414179973 is an apocalyptic number.

It is an amenable number.

86100414179973 is a deficient number, since it is larger than the sum of its proper divisors (33867835578747).

86100414179973 is a wasteful number, since it uses less digits than its factorization.

86100414179973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26794397.

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 86100414179973 in words is "eighty-six trillion, one hundred billion, four hundred fourteen million, one hundred seventy-nine thousand, nine hundred seventy-three".

Divisors: 1 3 31 93 109 317 327 951 3379 9827 10137 29481 34553 103659 1071143 3213429 26793937 80381811 830612047 2491836141 2920539133 8493678029 8761617399 25481034087 90536713123 263304018899 271610139369 789912056697 925810905161 2777432715483 28700138059991 86100414179973