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112699728090 = 23251773659953
BaseRepresentation
bin110100011110101101…
…1010110000011011010
3101202220020102101002100
41220331123112003122
53321302112244330
6123435030144230
711066542611555
oct1507533260332
9352806371070
10112699728090
1143883070854
1219a12ab2076
13a820919951
14565198569c
152de9127060
hex1a3d6d60da

112699728090 has 48 divisors (see below), whose sum is σ = 310255726248. Its totient is φ = 28285421568.

The previous prime is 112699728079. The next prime is 112699728101. The reversal of 112699728090 is 90827996211.

112699728090 is a `hidden beast` number, since 11 + 269 + 9 + 7 + 280 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (112699728079) and next prime (112699728101).

It can be written as a sum of positive squares in 4 ways, for example, as 104608905489 + 8090822601 = 323433^2 + 89949^2 .

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, 36828447 + ... + 36831506.

Almost surely, 2112699728090 is an apocalyptic number.

112699728090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112699728090 is an abundant number, since it is smaller than the sum of its proper divisors (197555998158).

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

112699728090 is a wasteful number, since it uses less digits than its factorization.

112699728090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73659983 (or 73659980 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 112699728090 in words is "one hundred twelve billion, six hundred ninety-nine million, seven hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 73659953 147319906 220979859 368299765 441959718 662939577 736599530 1104899295 1252219201 1325879154 2209798590 2504438402 3314697885 3756657603 6261096005 6629395770 7513315206 11269972809 12522192010 18783288015 22539945618 37566576030 56349864045 112699728090