Search a number
-
+
23264166146232 = 2331188121841463
BaseRepresentation
bin1010100101000100111000…
…10110111111000010111000
310001101000212201221102120210
411102202130112333002320
511022130003013134412
6121251224350551120
74620531503332434
oct522423426770270
9101330781842523
1023264166146232
11745a306326330
1227389022084a0
13cc9a55a4486b
145a5dc512b9c4
152a524ade583c
hex15289c5bf0b8

23264166146232 has 32 divisors (see below), whose sum is σ = 63447725854080. Its totient is φ = 7049747316960.

The previous prime is 23264166146219. The next prime is 23264166146279.

23264166146232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44060920468 + ... + 44060920995.

It is an arithmetic number, because the mean of its divisors is an integer number (1982741432940).

Almost surely, 223264166146232 is an apocalyptic number.

23264166146232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23264166146232 is an abundant number, since it is smaller than the sum of its proper divisors (40183559707848).

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

23264166146232 is a wasteful number, since it uses less digits than its factorization.

23264166146232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88121841483 (or 88121841479 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 23264166146232 in words is "twenty-three trillion, two hundred sixty-four billion, one hundred sixty-six million, one hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 88121841463 176243682926 264365524389 352487365852 528731048778 704974731704 969340256093 1057462097556 1938680512186 2114924195112 2908020768279 3877361024372 5816041536558 7754722048744 11632083073116 23264166146232