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23078983136 = 2511534332857
BaseRepresentation
bin10101011111100111…
…010101010111100000
32012120102011211002012
4111133213111113200
5334231204430021
614334034412052
71444630056056
oct253747252740
965512154065
1023078983136
119873536690
124581131028
13223a554751
14118d1ac1d6
1590121235b
hex55f9d55e0

23078983136 has 96 divisors (see below), whose sum is σ = 50636946528. Its totient is φ = 10265149440.

The previous prime is 23078983111. The next prime is 23078983141. The reversal of 23078983136 is 63138987032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076620 + ... + 8079476.

It is an arithmetic number, because the mean of its divisors is an integer number (527468193).

Almost surely, 223078983136 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 23078983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318473264).

23078983136 is an abundant number, since it is smaller than the sum of its proper divisors (27557963392).

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

23078983136 is a wasteful number, since it uses less digits than its factorization.

23078983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 23078983136 in words is "twenty-three billion, seventy-eight million, nine hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 433 583 848 866 1166 1696 1732 2332 2857 3464 4664 4763 5714 6928 9328 9526 11428 13856 18656 19052 22856 22949 31427 38104 45712 45898 62854 76208 91424 91796 125708 151421 152416 183592 251416 252439 302842 367184 502832 504878 605684 734368 1005664 1009756 1211368 1237081 1665631 2019512 2422736 2474162 3331262 4039024 4845472 4948324 6662524 8078048 9896648 13325048 13607891 19793296 26650096 27215782 39586592 53300192 54431564 65565293 108863128 131130586 217726256 262261172 435452512 524522344 721218223 1049044688 1442436446 2098089376 2884872892 5769745784 11539491568 23078983136