Search a number
-
+
125521002326430 = 2345791961572157
BaseRepresentation
bin11100100010100100100010…
…110000010110100110011110
3121110102200122110200121020000
4130202210202300112212132
5112423014003043421210
61122543315153235130
735303410310513244
oct3442444260264636
9543380573617200
10125521002326430
1136aa418153a937
12120b2989862aa6
13550676c889699
1422dd36b0b6794
15e7a151716ac0
hex722922c1699e

125521002326430 has 80 divisors (see below), whose sum is σ = 341784332809920. Its totient is φ = 33048567684288.

The previous prime is 125521002326399. The next prime is 125521002326441. The reversal of 125521002326430 is 34623200125521.

125521002326430 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 2 + 1 + 0 + 0 + 2 + 3 + 2 + 643 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 980722089 + ... + 980850068.

It is an arithmetic number, because the mean of its divisors is an integer number (4272304160124).

Almost surely, 2125521002326430 is an apocalyptic number.

125521002326430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125521002326430 is an abundant number, since it is smaller than the sum of its proper divisors (216263330483490).

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

125521002326430 is a wasteful number, since it uses less digits than its factorization.

125521002326430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961572255 (or 1961572246 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 125521002326430 in words is "one hundred twenty-five trillion, five hundred twenty-one billion, two million, three hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 711 790 810 1185 1422 2133 2370 3555 4266 6399 7110 10665 12798 21330 31995 63990 1961572157 3923144314 5884716471 9807860785 11769432942 17654149413 19615721570 29423582355 35308298826 52962448239 58847164710 88270747065 105924896478 154964200403 158887344717 176541494130 264812241195 309928400806 317774689434 464892601209 529624482390 774821002015 794436723585 929785202418 1394677803627 1549642004030 1588873447170 2324463006045 2789355607254 4184033410881 4648926012090 6973389018135 8368066821762 12552100232643 13946778036270 20920167054405 25104200465286 41840334108810 62760501163215 125521002326430