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112580269668 = 223217257715777
BaseRepresentation
bin110100011011001001…
…1101001011001100100
3101202120220122020221100
41220312103221121210
53321031022112133
6123415121520100
711063562334356
oct1506623513144
9352526566840
10112580269668
1143821699989
121999aaa3030
13a801c523a9
14563db6b0d6
152ddd8cbe13
hex1a364e9664

112580269668 has 72 divisors (see below), whose sum is σ = 302490645912. Its totient is φ = 35181821952.

The previous prime is 112580269657. The next prime is 112580269673. The reversal of 112580269668 is 866962085211.

It can be written as a sum of positive squares in 4 ways, for example, as 42176015424 + 70404254244 = 205368^2 + 265338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200605 + ... + 515172.

It is an arithmetic number, because the mean of its divisors is an integer number (4201258971).

Almost surely, 2112580269668 is an apocalyptic number.

112580269668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112580269668 is an abundant number, since it is smaller than the sum of its proper divisors (189910376244).

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

112580269668 is a wasteful number, since it uses less digits than its factorization.

112580269668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716061 (or 716056 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 112580269668 in words is "one hundred twelve billion, five hundred eighty million, two hundred sixty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 257 306 514 612 771 1028 1542 2313 3084 4369 4626 8738 9252 13107 17476 26214 39321 52428 78642 157284 715777 1431554 2147331 2863108 4294662 6441993 8589324 12168209 12883986 24336418 25767972 36504627 48672836 73009254 109513881 146018508 183954689 219027762 367909378 438055524 551864067 735818756 1103728134 1655592201 2207456268 3127229713 3311184402 6254459426 6622368804 9381689139 12508918852 18763378278 28145067417 37526756556 56290134834 112580269668