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112451706048 = 2631155019679
BaseRepresentation
bin110100010111010100…
…1001101110011000000
3101202020221201112210210
41220232221031303000
53320300114043143
6123354250154120
711060441505333
oct1505651156300
9352227645723
10112451706048
1143766069160
1219963a22940
13a7b141a646
14562aa6261a
152dd2484033
hex1a2ea4dcc0

112451706048 has 112 divisors (see below), whose sum is σ = 324669058560. Its totient is φ = 34066560000.

The previous prime is 112451706047. The next prime is 112451706049. The reversal of 112451706048 is 840607154211.

It is an interprime number because it is at equal distance from previous prime (112451706047) and next prime (112451706049).

It is a junction number, because it is equal to n+sod(n) for n = 112451705997 and 112451706015.

It is not an unprimeable number, because it can be changed into a prime (112451706047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11613273 + ... + 11622951.

It is an arithmetic number, because the mean of its divisors is an integer number (2898830880).

Almost surely, 2112451706048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112451706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162334529280).

112451706048 is an abundant number, since it is smaller than the sum of its proper divisors (212217352512).

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

112451706048 is a wasteful number, since it uses less digits than its factorization.

112451706048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15206 (or 15196 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 112451706048 in words is "one hundred twelve billion, four hundred fifty-one million, seven hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5501 9679 11002 16503 19358 22004 29037 33006 38716 44008 58074 60511 66012 77432 88016 106469 116148 121022 132024 154864 176032 181533 212938 232296 242044 264048 309728 319407 352064 363066 425876 464592 484088 528096 619456 638814 726132 851752 929184 968176 1056192 1277628 1452264 1703504 1858368 1936352 2555256 2904528 3407008 3872704 5110512 5809056 6814016 10221024 11618112 20442048 53244179 106488358 159732537 212976716 319465074 425953432 585685969 638930148 851906864 1171371938 1277860296 1703813728 1757057907 2342743876 2555720592 3407627456 3514115814 4685487752 5111441184 7028231628 9370975504 10222882368 14056463256 18741951008 28112926512 37483902016 56225853024 112451706048