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23078267744 = 2572295031009
BaseRepresentation
bin10101011111100100…
…100110101101100000
32012120100211110202012
4111133210212231200
5334231014031434
614334011212052
71444621016300
oct253744465540
965510743665
1023078267744
119873098154
124580a47028
13223a363c3c
14118d063600
159011203ce
hex55f926b60

23078267744 has 144 divisors (see below), whose sum is σ = 54838879200. Its totient is φ = 9521197056.

The previous prime is 23078267629. The next prime is 23078267759. The reversal of 23078267744 is 44776287032.

It is a junction number, because it is equal to n+sod(n) for n = 23078267692 and 23078267701.

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, 22871912 + ... + 22872920.

It is an arithmetic number, because the mean of its divisors is an integer number (380825550).

Almost surely, 223078267744 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 23078267744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27419439600).

23078267744 is an abundant number, since it is smaller than the sum of its proper divisors (31760611456).

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

23078267744 is a wasteful number, since it uses less digits than its factorization.

23078267744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 50.

The spelling of 23078267744 in words is "twenty-three billion, seventy-eight million, two hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 503 784 812 928 1006 1009 1421 1568 1624 2012 2018 2842 3248 3521 4024 4036 5684 6496 7042 7063 8048 8072 11368 14084 14126 14587 16096 16144 22736 24647 28168 28252 29174 29261 32288 45472 49294 49441 56336 56504 58348 58522 98588 98882 102109 112672 113008 116696 117044 197176 197764 204218 204827 226016 233392 234088 394352 395528 408436 409654 466784 468176 507527 714763 788704 791056 816872 819308 936352 1015054 1429526 1433789 1582112 1633744 1638616 2030108 2859052 2867578 3267488 3277232 3552689 4060216 5718104 5735156 6554464 7105378 8120432 11436208 11470312 14210756 14718283 16240864 22872416 22940624 24868823 28421512 29436566 45881248 49737646 56843024 58873132 99475292 103027981 113686048 117746264 198950584 206055962 235492528 397901168 412111924 470985056 721195867 795802336 824223848 1442391734 1648447696 2884783468 3296895392 5769566936 11539133872 23078267744