Search a number
-
+
108145380249180 = 22325600807668051
BaseRepresentation
bin11000100101101110001110…
…111110010100111001011100
3112011220121010111021210021100
4120211232032332110321130
5103133323214320433210
61022001145110033100
731531150223656461
oct3045561676247134
9464817114253240
10108145380249180
113150521a89637a
1210167371048790
1348460b1175391
141c9c39b483668
15c7819996e5c0
hex625b8ef94e5c

108145380249180 has 36 divisors (see below), whose sum is σ = 328040986756392. Its totient is φ = 28838768066400.

The previous prime is 108145380249133. The next prime is 108145380249209. The reversal of 108145380249180 is 81942083541801.

108145380249180 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 4 + 5 + 380 + 249 + 18 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300403833846 + ... + 300403834205.

It is an arithmetic number, because the mean of its divisors is an integer number (9112249632122).

Almost surely, 2108145380249180 is an apocalyptic number.

108145380249180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108145380249180 is an abundant number, since it is smaller than the sum of its proper divisors (219895606507212).

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

108145380249180 is a wasteful number, since it uses less digits than its factorization.

108145380249180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600807668066 (or 600807668061 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 108145380249180 in words is "one hundred eight trillion, one hundred forty-five billion, three hundred eighty million, two hundred forty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 600807668051 1201615336102 1802423004153 2403230672204 3004038340255 3604846008306 5407269012459 6008076680510 7209692016612 9012115020765 10814538024918 12016153361020 18024230041530 21629076049836 27036345062295 36048460083060 54072690124590 108145380249180