Search a number
-
+
125620331562 = 232111946771503
BaseRepresentation
bin111010011111110001…
…1100010010000101010
3110000020200211000222200
41310333203202100222
54024232301102222
6133413103401030
712034663125465
oct1647743422052
9400220730880
10125620331562
1149303447440
1220419bb3176
13bacc70cb4b
1461199642dc
1534035e3eac
hex1d3f8e242a

125620331562 has 96 divisors (see below), whose sum is σ = 313221841920. Its totient is φ = 35985526560.

The previous prime is 125620331533. The next prime is 125620331587. The reversal of 125620331562 is 265133026521.

125620331562 is a `hidden beast` number, since 1 + 2 + 5 + 62 + 0 + 3 + 31 + 562 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721103 + ... + 1792605.

It is an arithmetic number, because the mean of its divisors is an integer number (3262727520).

Almost surely, 2125620331562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125620331562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156610920960).

125620331562 is an abundant number, since it is smaller than the sum of its proper divisors (187601510358).

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

125620331562 is a wasteful number, since it uses less digits than its factorization.

125620331562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72008 (or 72005 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 125620331562 in words is "one hundred twenty-five billion, six hundred twenty million, three hundred thirty-one thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 467 627 934 1254 1401 1881 2802 3762 4203 5137 8406 8873 10274 15411 17746 26619 30822 46233 53238 71503 79857 92466 97603 143006 159714 195206 214509 292809 429018 585618 643527 786533 878427 1287054 1358557 1573066 1756854 2359599 2717114 4075671 4719198 7078797 8151342 12227013 14157594 14944127 24454026 29888254 33391901 44832381 66783802 89664762 100175703 134497143 200351406 268994286 300527109 367310911 601054218 634446119 734621822 1101932733 1268892238 1903338357 2203865466 3305798199 3806676714 5710015071 6611596398 6978907309 11420030142 13957814618 20936721927 41873443854 62810165781 125620331562