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128374665272 = 23721277093637
BaseRepresentation
bin111011110001110111…
…0011111000000111000
3110021100122120200112022
41313203232133000320
54100402403242042
6134550254334012
712163146436100
oct1674356370070
9407318520468
10128374665272
114a497174097
1220a684ba308
13c14b23b3c9
1462db69c200
15351530ccd2
hex1de3b9f038

128374665272 has 96 divisors (see below), whose sum is σ = 282681331200. Its totient is φ = 54492528384.

The previous prime is 128374665247. The next prime is 128374665299. The reversal of 128374665272 is 272566473821.

128374665272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35295038 + ... + 35298674.

It is an arithmetic number, because the mean of its divisors is an integer number (2944597200).

Almost surely, 2128374665272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128374665272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141340665600).

128374665272 is an abundant number, since it is smaller than the sum of its proper divisors (154306665928).

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

128374665272 is a wasteful number, since it uses less digits than its factorization.

128374665272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4482 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 53.

The spelling of 128374665272 in words is "one hundred twenty-eight billion, three hundred seventy-four million, six hundred sixty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 392 508 709 889 1016 1418 1778 2836 3556 3637 4963 5672 6223 7112 7274 9926 12446 14548 19852 24892 25459 29096 34741 39704 49784 50918 69482 90043 101836 138964 178213 180086 203672 277928 356426 360172 461899 630301 712852 720344 923798 1260602 1425704 1847596 2521204 2578633 3233293 3695192 4412107 5042408 5157266 6466586 8824214 10314532 12933172 17648428 18050431 20629064 22633051 25866344 35296856 36100862 45266102 72201724 90532204 126353017 144403448 181064408 252706034 327486391 505412068 654972782 1010824136 1309945564 2292404737 2619891128 4584809474 9169618948 16046833159 18339237896 32093666318 64187332636 128374665272