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23391160408 = 23711472233623
BaseRepresentation
bin10101110010001110…
…001100100001011000
32020101011121001210101
4111302032030201120
5340401114113113
614425025425144
71455440403640
oct256216144130
966334531711
1023391160408
119a13778030
12464979b1b4
13228a127125
1411bc831520
1591d8292dd
hex57238c858

23391160408 has 128 divisors (see below), whose sum is σ = 56109957120. Its totient is φ = 8877087360.

The previous prime is 23391160393. The next prime is 23391160409. The reversal of 23391160408 is 80406119332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23391160409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6454485 + ... + 6458107.

It is an arithmetic number, because the mean of its divisors is an integer number (438359040).

Almost surely, 223391160408 is an apocalyptic number.

23391160408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23391160408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28054978560).

23391160408 is an abundant number, since it is smaller than the sum of its proper divisors (32718796712).

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

23391160408 is a wasteful number, since it uses less digits than its factorization.

23391160408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 23391160408 in words is "twenty-three billion, three hundred ninety-one million, one hundred sixty thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 223 308 329 376 446 517 616 658 892 1034 1316 1561 1784 2068 2453 2632 3122 3619 3623 4136 4906 6244 7238 7246 9812 10481 12488 14476 14492 17171 19624 20962 25361 28952 28984 34342 39853 41924 50722 68684 73367 79706 83848 101444 115291 137368 146734 159412 170281 202888 230582 278971 293468 318824 340562 461164 557942 586936 681124 807037 807929 922328 1115884 1191967 1362248 1614074 1615858 1873091 2231768 2383934 3228148 3231716 3746182 4767868 5655503 6456296 6463432 7492364 8887219 9535736 11311006 13111637 14984728 17774438 22622012 26223274 35548876 37972663 45244024 52446548 62210533 71097752 75945326 104893096 124421066 151890652 248842132 265808641 303781304 417699293 497684264 531617282 835398586 1063234564 1670797172 2126469128 2923895051 3341594344 5847790102 11695580204 23391160408