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109810716128 = 25139149223743
BaseRepresentation
bin110011001000100111…
…0101000110111100000
3101111102220020100201022
41212101032220313200
53244343020404003
6122240224425012
710635132454301
oct1462116506740
9344386210638
10109810716128
1142630317363
1219347478168
13a480225409
145459dd07a8
152cca6a8738
hex19913a8de0

109810716128 has 96 divisors (see below), whose sum is σ = 220485888000. Its totient is φ = 53829167616.

The previous prime is 109810716121. The next prime is 109810716139. The reversal of 109810716128 is 821617018901.

It is a happy number.

It is a Cunningham number, because it is equal to 3313772-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109810716121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147793325 + ... + 147794067.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728000).

Almost surely, 2109810716128 is an apocalyptic number.

It is an amenable number.

109810716128 is an abundant number, since it is smaller than the sum of its proper divisors (110675171872).

109810716128 is a wasteful number, since it uses less digits than its factorization.

109810716128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 44.

The spelling of 109810716128 in words is "one hundred nine billion, eight hundred ten million, seven hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 139 149 223 278 298 446 556 596 743 892 1112 1192 1486 1784 2224 2384 2972 3568 4448 4768 5944 7136 11888 20711 23776 30997 33227 41422 61994 66454 82844 103277 110707 123988 132908 165688 165689 206554 221414 247976 265816 331376 331378 413108 442828 495952 531632 662752 662756 826216 885656 991904 1063264 1325512 1652432 1771312 2651024 3304864 3542624 4618553 5302048 9237106 15388273 18474212 23030771 24687661 30776546 36948424 46061542 49375322 61553092 73896848 92123084 98750644 123106184 147793696 184246168 197501288 246212368 368492336 395002576 492424736 736984672 790005152 3431584879 6863169758 13726339516 27452679032 54905358064 109810716128