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115053119730 = 232522919932801
BaseRepresentation
bin110101100100110110…
…0110100100011110010
3101222222020202001111200
41223021230310203302
53341112044312410
6124504335352030
711212060244643
oct1531154644362
9358866661450
10115053119730
114488053981a
121a36b082616
13ab07366b93
1457d63516ca
152ed5a433c0
hex1ac9b348f2

115053119730 has 96 divisors (see below), whose sum is σ = 300702458160. Its totient is φ = 30520627200.

The previous prime is 115053119693. The next prime is 115053119777. The reversal of 115053119730 is 37911350511.

115053119730 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 531 + 1 + 97 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91411289649 + 23641830081 = 302343^2 + 153759^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41074330 + ... + 41077130.

Almost surely, 2115053119730 is an apocalyptic number.

115053119730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115053119730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150351229080).

115053119730 is an abundant number, since it is smaller than the sum of its proper divisors (185649338430).

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

115053119730 is a wasteful number, since it uses less digits than its factorization.

115053119730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The spelling of 115053119730 in words is "one hundred fifteen billion, fifty-three million, one hundred nineteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 1993 2061 2290 2801 3435 3986 4122 5602 5979 6870 8403 9965 10305 11958 14005 16806 17937 19930 20610 25209 28010 29895 35874 42015 50418 59790 84030 89685 126045 179370 252090 456397 641429 912794 1282858 1369191 1924287 2281985 2738382 3207145 3848574 4107573 4563970 5582393 5772861 6414290 6845955 8215146 9621435 11164786 11545722 13691910 16747179 19242870 20537865 27911965 28864305 33494358 41075730 50241537 55823930 57728610 83735895 100483074 167471790 251207685 502415370 1278367997 2556735994 3835103991 6391839985 7670207982 11505311973 12783679970 19175519955 23010623946 38351039910 57526559865 115053119730