Search a number
-
+
12072241064260 = 22513133733347197
BaseRepresentation
bin1010111110101100100110…
…1000111110100101000100
31120202002120020101101220001
42233223021220332211010
53040242422203024020
641401524434451044
72354122246641136
oct257531150764504
946662506341801
1012072241064260
1139348993a36a3
12142b821133a84
1369753b215960
142da42a0c1056
1515e06016050a
hexafac9a3e944

12072241064260 has 48 divisors (see below), whose sum is σ = 27302120271216. Its totient is φ = 4457396685312.

The previous prime is 12072241064207. The next prime is 12072241064263. The reversal of 12072241064260 is 6246014227021.

It can be written as a sum of positive squares in 8 ways, for example, as 746606596096 + 11325634468164 = 864064^2 + 3365358^2 .

It is not an unprimeable number, because it can be changed into a prime (12072241064263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34596982 + ... + 34944178.

It is an arithmetic number, because the mean of its divisors is an integer number (568794172317).

Almost surely, 212072241064260 is an apocalyptic number.

12072241064260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072241064260 is an abundant number, since it is smaller than the sum of its proper divisors (15229879206956).

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

12072241064260 is a wasteful number, since it uses less digits than its factorization.

12072241064260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480952 (or 480950 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 12072241064260 in words is "twelve trillion, seventy-two billion, two hundred forty-one million, sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 133733 267466 347197 534932 668665 694394 1337330 1388788 1735985 1738529 2674660 3471970 3477058 4513561 6943940 6954116 8692645 9027122 17385290 18054244 22567805 34770580 45135610 90271220 46431696401 92863392802 185726785604 232158482005 464316964010 603612053213 928633928020 1207224106426 2414448212852 3018060266065 6036120532130 12072241064260