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112531567616 = 210132650261
BaseRepresentation
bin110100011001101100…
…1110111010000000000
3101202110111222221021122
41220303121313100000
53320431040130431
6123410222011412
711062431354026
oct1506331672000
9352414887248
10112531567616
11437a7155356
1219986716b68
13a7c4b2ca00
1456374d0716
152dd94aba7b
hex1a33677400

112531567616 has 66 divisors (see below), whose sum is σ = 243588795462. Its totient is φ = 51937566720.

The previous prime is 112531567613. The next prime is 112531567649. The reversal of 112531567616 is 616765135211.

It can be written as a sum of positive squares in 3 ways, for example, as 14246809600 + 98284758016 = 119360^2 + 313504^2 .

It is a super-2 number, since 2×1125315676162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112531567613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152075 + ... + 498186.

Almost surely, 2112531567616 is an apocalyptic number.

112531567616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112531567616 is an abundant number, since it is smaller than the sum of its proper divisors (131057227846).

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

112531567616 is an equidigital number, since it uses as much as digits as its factorization.

112531567616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650307 (or 650276 counting only the distinct ones).

The product of its digits is 226800, while the sum is 44.

The spelling of 112531567616 in words is "one hundred twelve billion, five hundred thirty-one million, five hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 21632 43264 86528 173056 650261 1300522 2601044 5202088 8453393 10404176 16906786 20808352 33813572 41616704 67627144 83233408 109894109 135254288 166466816 219788218 270508576 332933632 439576436 541017152 665867264 879152872 1082034304 1758305744 2164068608 3516611488 4328137216 7033222976 8656274432 14066445952 28132891904 56265783808 112531567616