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23802854138336 = 2571314935474921
BaseRepresentation
bin1010110100110000010001…
…01010100110000111100000
310010021112022211102202211202
411122120020222212013200
511104441221124411321
6122342514044100332
75004461625611030
oct532301052460740
9103245284382752
1023802854138336
117647808692919
12280519b8346a8
1310387a4194450
145c40c85938c0
152b427824c70b
hex15a608aa61e0

23802854138336 has 96 divisors (see below), whose sum is σ = 57714788150208. Its totient is φ = 9410204897280.

The previous prime is 23802854138321. The next prime is 23802854138417. The reversal of 23802854138336 is 63383145820832.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610156 + ... + 7085076.

It is an arithmetic number, because the mean of its divisors is an integer number (601195709898).

Almost surely, 223802854138336 is an apocalyptic number.

23802854138336 is a gapful number since it is divisible by the number (26) 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 23802854138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28857394075104).

23802854138336 is an abundant number, since it is smaller than the sum of its proper divisors (33911934011872).

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

23802854138336 is a wasteful number, since it uses less digits than its factorization.

23802854138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476444 (or 5476436 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 56.

The spelling of 23802854138336 in words is "twenty-three trillion, eight hundred two billion, eight hundred fifty-four million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1493 2912 2986 5972 10451 11944 19409 20902 23888 38818 41804 47776 77636 83608 135863 155272 167216 271726 310544 334432 543452 621088 1086904 2173808 4347616 5474921 10949842 21899684 38324447 43799368 71173973 76648894 87598736 142347946 153297788 175197472 284695892 306595576 498217811 569391784 613191152 996435622 1138783568 1226382304 1992871244 2277567136 3985742488 7971484976 8174057053 15942969952 16348114106 32696228212 57218399371 65392456424 106262741689 114436798742 130784912848 212525483378 228873597484 261569825696 425050966756 457747194968 743839191823 850101933512 915494389936 1487678383646 1700203867024 1830988779872 2975356767292 3400407734048 5950713534584 11901427069168 23802854138336