Search a number
-
+
125521004412 = 2232103118311847
BaseRepresentation
bin111010011100110100…
…0101000011101111100
3102222222202220200202100
41310321220220131330
54024031334120122
6133355154425100
712032345635116
oct1647150503574
9388882820670
10125521004412
1149262375491
12203b0892190
13bab4c7369b
14610a6aa3b6
1533e9a23aac
hex1d39a2877c

125521004412 has 72 divisors (see below), whose sum is σ = 317942456832. Its totient is φ = 41754304800.

The previous prime is 125521004387. The next prime is 125521004417. The reversal of 125521004412 is 214400125521.

It is a happy number.

125521004412 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 210 + 0 + 441 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125521004417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67958473 + ... + 67960319.

It is an arithmetic number, because the mean of its divisors is an integer number (4415867456).

Almost surely, 2125521004412 is an apocalyptic number.

125521004412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125521004412 is an abundant number, since it is smaller than the sum of its proper divisors (192421452420).

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

125521004412 is a wasteful number, since it uses less digits than its factorization.

125521004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 125521004412 its reverse (214400125521), we get a palindrome (339921129933).

The spelling of 125521004412 in words is "one hundred twenty-five billion, five hundred twenty-one million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1031 1831 1847 2062 3093 3662 3694 4124 5493 5541 6186 7324 7388 9279 10986 11082 12372 16479 16623 18558 21972 22164 32958 33246 37116 65916 66492 1887761 1904257 3381857 3775522 3808514 5663283 5712771 6763714 7551044 7617028 10145571 11326566 11425542 13527428 16989849 17138313 20291142 22653132 22851084 30436713 33979698 34276626 40582284 60873426 67959396 68553252 121746852 3486694567 6973389134 10460083701 13946778268 20920167402 31380251103 41840334804 62760502206 125521004412