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11938689655904 = 25111710911828691
BaseRepresentation
bin1010110110111011000101…
…0110110010010001100000
31120021022211210211220212102
42231232301112302101200
53031100414022442104
641220320332345532
72341353600462434
oct255566126622140
946238753756772
1011938689655904
113893196084940
12140996b0152a8
13687a7664537b
142d3b9b0b49c4
1515a845637a1e
hexadbb15b2460

11938689655904 has 96 divisors (see below), whose sum is σ = 27174246083712. Its totient is φ = 5102776576000.

The previous prime is 11938689655901. The next prime is 11938689655909. The reversal of 11938689655904 is 40955698683911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938689655901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5614199 + ... + 7442889.

It is an arithmetic number, because the mean of its divisors is an integer number (283065063372).

Almost surely, 211938689655904 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 11938689655904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587123041856).

11938689655904 is an abundant number, since it is smaller than the sum of its proper divisors (15235556427808).

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

11938689655904 is a wasteful number, since it uses less digits than its factorization.

11938689655904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829820 (or 1829812 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 74.

The spelling of 11938689655904 in words is "eleven trillion, nine hundred thirty-eight billion, six hundred eighty-nine million, six hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1091 1496 2182 2992 4364 5984 8728 12001 17456 18547 24002 34912 37094 48004 74188 96008 148376 192016 204017 296752 384032 408034 593504 816068 1632136 1828691 3264272 3657382 6528544 7314764 14629528 20115601 29259056 31087747 40231202 58518112 62175494 80462404 124350988 160924808 248701976 321849616 341965217 497403952 643699232 683930434 994807904 1367860868 1995101881 2735721736 3990203762 5471443472 7980407524 10942886944 15960815048 21946120691 31921630096 33916731977 43892241382 63843260192 67833463954 87784482764 135666927908 175568965528 271333855816 351137931056 373084051747 542667711632 702275862112 746168103494 1085335423264 1492336206988 2984672413976 5969344827952 11938689655904