Search a number
-
+
86145233254168 = 2311978923105161
BaseRepresentation
bin10011100101100101000000…
…000001101111011100011000
3102022000101220102101022101211
4103211211000001233130120
542242400414203113133
6503114323540152504
724100534120663564
oct2345450001573430
9368011812338354
1086145233254168
11254a2a96408a80
1297b3634398734
13390b5cb0410aa
14173b6470306a4
159e5c7dc71bcd
hex4e594006f718

86145233254168 has 16 divisors (see below), whose sum is σ = 176206158929160. Its totient is φ = 39156924206400.

The previous prime is 86145233254061. The next prime is 86145233254211.

It is a happy number.

86145233254168 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 489461552493 + ... + 489461552668.

Almost surely, 286145233254168 is an apocalyptic number.

86145233254168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86145233254168 is an abundant number, since it is smaller than the sum of its proper divisors (90060925674992).

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

86145233254168 is a wasteful number, since it uses less digits than its factorization.

86145233254168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978923105178 (or 978923105174 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 58.

The spelling of 86145233254168 in words is "eighty-six trillion, one hundred forty-five billion, two hundred thirty-three million, two hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 978923105161 1957846210322 3915692420644 7831384841288 10768154156771 21536308313542 43072616627084 86145233254168