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113725819072 = 2629199367839
BaseRepresentation
bin110100111101010010…
…1100100100011000000
3101212112202012012022001
41221322211210203000
53330402302202242
6124124522553344
711134142340505
oct1517245444300
9355482165261
10113725819072
114425a295128
121a05a668854
13a955390788
14570bd654ac
152e5925deb7
hex1a7a9648c0

113725819072 has 112 divisors (see below), whose sum is σ = 235549440000. Its totient is φ = 54412452864.

The previous prime is 113725819061. The next prime is 113725819087. The reversal of 113725819072 is 270918527311.

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, 135548829 + ... + 135549667.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120000).

Almost surely, 2113725819072 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 113725819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117774720000).

113725819072 is an abundant number, since it is smaller than the sum of its proper divisors (121823620928).

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

113725819072 is a wasteful number, since it uses less digits than its factorization.

113725819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 113725819072 in words is "one hundred thirteen billion, seven hundred twenty-five million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 199 232 367 398 464 734 796 839 928 1468 1592 1678 1856 2936 3184 3356 5771 5872 6368 6712 10643 11542 11744 12736 13424 21286 23084 23488 24331 26848 42572 46168 48662 53696 73033 85144 92336 97324 146066 166961 170288 184672 194648 292132 307913 333922 340576 369344 389296 584264 615826 667844 681152 778592 1168528 1231652 1335688 1557184 2117957 2337056 2463304 2671376 4235914 4674112 4841869 4926608 5342752 8471828 8929477 9683738 9853216 10685504 16943656 17858954 19367476 19706432 33887312 35717908 38734952 61274687 67774624 71435816 77469904 122549374 135549248 142871632 154939808 245098748 285743264 309879616 490197496 571486528 980394992 1776965923 1960789984 3553931846 3921579968 7107863692 14215727384 28431454768 56862909536 113725819072