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112305457446 = 237132472271483
BaseRepresentation
bin110100010010111101…
…1010100100100100110
3101201212202112100102220
41220211323110210212
53320000144114241
6123331543413210
711054014431510
oct1504573244446
9351782470386
10112305457446
11436a0559446
1219922a54206
13a78a033100
145615472bb0
152dc46e6166
hex1a25ed4926

112305457446 has 192 divisors, whose sum is σ = 285320060928. Its totient is φ = 28841664384.

The previous prime is 112305457417. The next prime is 112305457489. The reversal of 112305457446 is 644754503211.

It is a super-2 number, since 2×1123054574462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112305457398 and 112305457407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75727821 + ... + 75729303.

It is an arithmetic number, because the mean of its divisors is an integer number (1486041984).

Almost surely, 2112305457446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112305457446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142660030464).

112305457446 is an abundant number, since it is smaller than the sum of its proper divisors (173014603482).

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

112305457446 is a wasteful number, since it uses less digits than its factorization.

112305457446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 112305457446 in words is "one hundred twelve billion, three hundred five million, four hundred fifty-seven thousand, four hundred forty-six".