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23800409856 = 283210994771
BaseRepresentation
bin10110001010100111…
…010110111100000000
32021102200200002111100
4112022213112330000
5342220401103411
614533405214400
71501540101006
oct261247267400
967380602440
1023800409856
11a103790213
124742861400
132323b56772
14121ad22a76
15944718456
hex58a9d6f00

23800409856 has 108 divisors (see below), whose sum is σ = 69252743560. Its totient is φ = 7860602880.

The previous prime is 23800409813. The next prime is 23800409891. The reversal of 23800409856 is 65890400832.

23800409856 is a `hidden beast` number, since 238 + 0 + 0 + 409 + 8 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203751 + ... + 298521.

Almost surely, 223800409856 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 23800409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34626371780).

23800409856 is an abundant number, since it is smaller than the sum of its proper divisors (45452333704).

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

23800409856 is a wasteful number, since it uses less digits than its factorization.

23800409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94902 (or 94885 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 23800409856 in words is "twenty-three billion, eight hundred million, four hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 576 654 768 872 981 1152 1308 1744 1962 2304 2616 3488 3924 5232 6976 7848 10464 13952 15696 20928 27904 31392 41856 62784 83712 94771 125568 189542 251136 284313 379084 568626 758168 852939 1137252 1516336 1705878 2274504 3032672 3411756 4549008 6065344 6823512 9098016 10330039 12130688 13647024 18196032 20660078 24261376 27294048 30990117 36392064 41320156 54588096 61980234 72784128 82640312 92970351 109176192 123960468 165280624 185940702 218352384 247920936 330561248 371881404 495841872 661122496 743762808 991683744 1322244992 1487525616 1983367488 2644489984 2975051232 3966734976 5950102464 7933469952 11900204928 23800409856