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23302880048 = 2473141313523
BaseRepresentation
bin10101101100111101…
…011011101100110000
32020011000110221220102
4111230331123230300
5340211014130143
614412153331532
71453316132540
oct255475335460
966130427812
1023302880048
119978960758
124624106ba8
132274a57b26
1411b0c11320
15915bdc0b8
hex56cf5bb30

23302880048 has 160 divisors (see below), whose sum is σ = 54841823232. Its totient is φ = 9380966400.

The previous prime is 23302880021. The next prime is 23302880147. The reversal of 23302880048 is 84008820332.

It is a junction number, because it is equal to n+sod(n) for n = 23302879993 and 23302880020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44555915 + ... + 44556437.

Almost surely, 223302880048 is an apocalyptic number.

23302880048 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 23302880048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420911616).

23302880048 is an abundant number, since it is smaller than the sum of its proper divisors (31538943184).

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

23302880048 is a wasteful number, since it uses less digits than its factorization.

23302880048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 23302880048 in words is "twenty-three billion, three hundred two million, eight hundred eighty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 313 328 434 496 523 574 626 656 868 1046 1148 1252 1271 1736 2092 2191 2296 2504 2542 3472 3661 4184 4382 4592 5008 5084 7322 8368 8764 8897 9703 10168 12833 14644 16213 17528 17794 19406 20336 21443 25666 29288 32426 35056 35588 38812 42886 51332 58576 64852 67921 71176 77624 85772 89831 102664 113491 129704 135842 142352 150101 155248 163699 171544 179662 205328 226982 259408 271684 300202 327398 343088 359324 397823 453964 543368 600404 654796 664733 718648 795646 907928 1086736 1145893 1200808 1309592 1329466 1437296 1591292 1815856 2291786 2401616 2619184 2658932 2784761 3182584 4583572 4653131 5074669 5317864 5569522 6365168 6711659 9167144 9306262 10149338 10635728 11139044 13423318 18334288 18612524 20298676 22278088 26846636 35522683 37225048 40597352 44556176 46981613 53693272 71045366 74450096 81194704 93963226 107386544 142090732 187926452 208061429 284181464 375852904 416122858 568362928 751705808 832245716 1456430003 1664491432 2912860006 3328982864 5825720012 11651440024 23302880048