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86242444296 = 23359487125063
BaseRepresentation
bin101000001010001110…
…0110100010000001000
322020121101101002201120
41100110130310100020
52403111031204141
6103341430515240
76142111452441
oct1202434642010
9266541332646
1086242444296
113363667a958
121486a505b20
1381954c9138
144261c582c8
15239b546c66
hex1414734408

86242444296 has 64 divisors (see below), whose sum is σ = 219712435200. Its totient is φ = 28201981248.

The previous prime is 86242444259. The next prime is 86242444297. The reversal of 86242444296 is 69244424268.

It is a happy number.

It is a super-3 number, since 3×862424442963 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86242444297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627061 + ... + 752123.

It is an arithmetic number, because the mean of its divisors is an integer number (3433006800).

Almost surely, 286242444296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86242444296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109856217600).

86242444296 is an abundant number, since it is smaller than the sum of its proper divisors (133469990904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86242444296 is a wasteful number, since it uses less digits than its factorization.

86242444296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125618 (or 125614 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The spelling of 86242444296 in words is "eighty-six billion, two hundred forty-two million, four hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 487 708 974 1416 1461 1948 2922 3896 5844 11688 28733 57466 86199 114932 125063 172398 229864 250126 344796 375189 500252 689592 750378 1000504 1500756 3001512 7378717 14757434 22136151 29514868 44272302 59029736 60905681 88544604 121811362 177089208 182717043 243622724 365434086 487245448 730868172 1461736344 3593435179 7186870358 10780305537 14373740716 21560611074 28747481432 43121222148 86242444296