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112471527168 = 28327111348767
BaseRepresentation
bin110100010111111010…
…0110100111100000000
3101202022100000120021100
41220233310310330000
53320320202332133
6123400235054400
711061102131010
oct1505764647400
9352270016240
10112471527168
1143776277050
121996a5a1400
13a7b556a510
14562d541c40
152dd409be13
hex1a2fd34f00

112471527168 has 432 divisors, whose sum is σ = 435410067456. Its totient is φ = 26965647360.

The previous prime is 112471527163. The next prime is 112471527191. The reversal of 112471527168 is 861725174211.

112471527168 is a `hidden beast` number, since 1 + 1 + 2 + 471 + 52 + 71 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112471527163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281921 + ... + 2330687.

Almost surely, 2112471527168 is an apocalyptic number.

112471527168 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 112471527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217705033728).

112471527168 is an abundant number, since it is smaller than the sum of its proper divisors (322938540288).

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

112471527168 is a wasteful number, since it uses less digits than its factorization.

112471527168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48820 (or 48803 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 112471527168 in words is "one hundred twelve billion, four hundred seventy-one million, five hundred twenty-seven thousand, one hundred sixty-eight".