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116213004560 = 2451937526749
BaseRepresentation
bin110110000111011010…
…1011011100100010000
3102002222002021022101002
41230032311123210100
53401001012121220
6125215412001132
711252603145242
oct1541665334420
9362862238332
10116213004560
1145316236424
121a6336001a8
13ac60754273
1458a63dc092
1530527a7c75
hex1b0ed5b910

116213004560 has 40 divisors (see below), whose sum is σ = 271595247000. Its totient is φ = 46244339712.

The previous prime is 116213004553. The next prime is 116213004563. The reversal of 116213004560 is 65400312611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23173363984 + 93039640576 = 152228^2 + 305024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (116213004563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3747935 + ... + 3778814.

It is an arithmetic number, because the mean of its divisors is an integer number (6789881175).

Almost surely, 2116213004560 is an apocalyptic number.

116213004560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116213004560 is an abundant number, since it is smaller than the sum of its proper divisors (155382242440).

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

116213004560 is a wasteful number, since it uses less digits than its factorization.

116213004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526955 (or 7526949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 116213004560 in words is "one hundred sixteen billion, two hundred thirteen million, four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 7526749 15053498 30106996 37633745 60213992 75267490 120427984 150534980 301069960 602139920 1452662557 2905325114 5810650228 7263312785 11621300456 14526625570 23242600912 29053251140 58106502280 116213004560