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112118485248 = 28327211137659
BaseRepresentation
bin110100001101011001…
…0000101000100000000
3101201101201201011210200
41220122302011010000
53314104313011443
6123301224125200
711046254254200
oct1503262050400
9351351634720
10112118485248
1143604a64470
1219890306800
13a75a38a883
1455d86c2400
152db30b1dd3
hex1a1ac85100

112118485248 has 648 divisors, whose sum is σ = 413850396960. Its totient is φ = 28865249280.

The previous prime is 112118485189. The next prime is 112118485291. The reversal of 112118485248 is 842584811211.

112118485248 is a `hidden beast` number, since 1 + 1 + 2 + 118 + 4 + 8 + 524 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170133943 + ... + 170134601.

It is an arithmetic number, because the mean of its divisors is an integer number (638658020).

Almost surely, 2112118485248 is an apocalyptic number.

112118485248 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 112118485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206925198480).

112118485248 is an abundant number, since it is smaller than the sum of its proper divisors (301731911712).

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

112118485248 is a wasteful number, since it uses less digits than its factorization.

112118485248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 819 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The spelling of 112118485248 in words is "one hundred twelve billion, one hundred eighteen million, four hundred eighty-five thousand, two hundred forty-eight".