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125331474645 = 325131731406531
BaseRepresentation
bin111010010111001010…
…1101000100011010101
3102222111120021120210100
41310232111220203111
54023134324142040
6133324304244313
712024554646156
oct1645625504325
9388446246710
10125331474645
1149175393a13
1220359310699
13ba84913cb0
1460cd45192d
1533d8086b30
hex1d2e5688d5

125331474645 has 96 divisors (see below), whose sum is σ = 255705375744. Its totient is φ = 56198707200.

The previous prime is 125331474613. The next prime is 125331474689. The reversal of 125331474645 is 546474133521.

125331474645 is a `hidden beast` number, since 1 + 2 + 533 + 1 + 4 + 74 + 6 + 45 = 666.

It is not a de Polignac number, because 125331474645 - 25 = 125331474613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 125331474645.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 105030 + ... + 511560.

It is an arithmetic number, because the mean of its divisors is an integer number (2663597664).

Almost surely, 2125331474645 is an apocalyptic number.

125331474645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125331474645 is an abundant number, since it is smaller than the sum of its proper divisors (130373901099).

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

125331474645 is a wasteful number, since it uses less digits than its factorization.

125331474645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406603 (or 406600 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 125331474645 in words is "one hundred twenty-five billion, three hundred thirty-one million, four hundred seventy-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 17 31 39 45 51 65 85 93 117 153 155 195 221 255 279 403 465 527 585 663 765 1105 1209 1395 1581 1989 2015 2635 3315 3627 4743 6045 6851 7905 9945 18135 20553 23715 34255 61659 102765 308295 406531 1219593 2032655 3658779 5284903 6097965 6911027 12602461 15854709 18293895 20733081 26424515 34555135 37807383 47564127 62199243 63012305 79273545 89843351 103665405 113422149 163831993 189036915 214241837 237820635 269530053 310996215 449216755 491495979 567110745 642725511 808590159 819159965 1071209185 1347650265 1474487937 1928176533 2457479895 2785143881 3213627555 4042950795 7372439685 8355431643 9640882665 13925719405 25066294929 41777158215 125331474645