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23102973864 = 23328912892797
BaseRepresentation
bin10101100001000010…
…110110011110101000
32012122002022200011200
4111201002312132220
5334303330130424
614340252524200
71445341015635
oct254102663650
965562280150
1023102973864
119886032233
124589180660
132242504449
14119245518c
159033a08c9
hex5610b67a8

23102973864 has 96 divisors (see below), whose sum is σ = 63345321000. Its totient is φ = 7605835776.

The previous prime is 23102973857. The next prime is 23102973869. The reversal of 23102973864 is 46837920132.

It can be written as a sum of positive squares in 4 ways, for example, as 21508568964 + 1594404900 = 146658^2 + 39930^2 .

It is not an unprimeable number, because it can be changed into a prime (23102973869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8258514 + ... + 8261310.

Almost surely, 223102973864 is an apocalyptic number.

23102973864 is a gapful number since it is divisible by the number (24) 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 23102973864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31672660500).

23102973864 is an abundant number, since it is smaller than the sum of its proper divisors (40242347136).

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

23102973864 is a wasteful number, since it uses less digits than its factorization.

23102973864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23102973864 in words is "twenty-three billion, one hundred two million, nine hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1289 1602 2136 2578 2797 3204 3867 5156 5594 6408 7734 8391 10312 11188 11601 15468 16782 22376 23202 25173 30936 33564 46404 50346 67128 92808 100692 114721 201384 229442 248933 344163 458884 497866 688326 746799 917768 995732 1032489 1376652 1493598 1991464 2064978 2240397 2753304 2987196 3605333 4129956 4480794 5974392 7210666 8259912 8961588 10815999 14421332 17923176 21631998 28842664 32447997 43263996 64895994 86527992 129791988 259583976 320874637 641749274 962623911 1283498548 1925247822 2566997096 2887871733 3850495644 5775743466 7700991288 11551486932 23102973864