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112166068248 = 2333132317310039
BaseRepresentation
bin110100001110110011…
…1100110000000011000
3101201112001020122102000
41220131213212000120
53314204003140443
6123310044041000
711050402564143
oct1503547460030
9351461218360
10112166068248
1143629904263
12198a4233160
13a7671aaab0
145600b4b05a
152db73608d3
hex1a1d9e6018

112166068248 has 256 divisors, whose sum is σ = 352187136000. Its totient is φ = 32817996288.

The previous prime is 112166068237. The next prime is 112166068291. The reversal of 112166068248 is 842860661211.

It is a happy number.

112166068248 is a `hidden beast` number, since 1 + 1 + 2 + 16 + 606 + 8 + 24 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11168013 + ... + 11178051.

It is an arithmetic number, because the mean of its divisors is an integer number (1375731000).

Almost surely, 2112166068248 is an apocalyptic number.

112166068248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112166068248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176093568000).

112166068248 is an abundant number, since it is smaller than the sum of its proper divisors (240021067752).

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

112166068248 is a wasteful number, since it uses less digits than its factorization.

112166068248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 112166068248 in words is "one hundred twelve billion, one hundred sixty-six million, sixty-eight thousand, two hundred forty-eight".