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112699496448 = 2113571117173
BaseRepresentation
bin110100011110101101…
…0011101100000000000
3101202220012222121100000
41220331122131200000
53321302032341243
6123435021200000
711066540625330
oct1507532354000
9352805877300
10112699496448
1143882a22810
1219a12a00000
13a820868396
1456519250c0
152de90cd5d3
hex1a3d69d800

112699496448 has 1152 divisors, whose sum is σ = 448175669760. Its totient is φ = 27391426560.

The previous prime is 112699496447. The next prime is 112699496449. The reversal of 112699496448 is 844694996211.

112699496448 is a `hidden beast` number, since 1 + 12 + 6 + 9 + 94 + 96 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (112699496447) and next prime (112699496449).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112699496443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651442090 + ... + 651442262.

It is an arithmetic number, because the mean of its divisors is an integer number (389041380).

Almost surely, 2112699496448 is an apocalyptic number.

112699496448 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 112699496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224087834880).

112699496448 is an abundant number, since it is smaller than the sum of its proper divisors (335476173312).

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

112699496448 is a wasteful number, since it uses less digits than its factorization.

112699496448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 112699496448 in words is "one hundred twelve billion, six hundred ninety-nine million, four hundred ninety-six thousand, four hundred forty-eight".