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99424346112 = 2133272132973
BaseRepresentation
bin101110010011000100…
…1110010000000000000
3100111122001110002120100
41130212021302000000
53112110113033422
6113401440442400
710116553666200
oct1344611620000
9314561402510
1099424346112
11391904a6893
1217329019400
1394b6489540
144b52814400
1528bd92a7ac
hex1726272000

99424346112 has 1008 divisors, whose sum is σ = 377305077240. Its totient is φ = 24970788864.

The previous prime is 99424346107. The next prime is 99424346117. The reversal of 99424346112 is 21164342499.

99424346112 is a `hidden beast` number, since 9 + 9 + 4 + 24 + 3 + 4 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99424346107) and next prime (99424346117).

It can be written as a sum of positive squares in 4 ways, for example, as 72977780736 + 26446565376 = 270144^2 + 162624^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 (99424346117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1361977308 + ... + 1361977380.

Almost surely, 299424346112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99424346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188652538620).

99424346112 is an abundant number, since it is smaller than the sum of its proper divisors (277880731128).

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

99424346112 is a wasteful number, since it uses less digits than its factorization.

99424346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 99424346112 in words is "ninety-nine billion, four hundred twenty-four million, three hundred forty-six thousand, one hundred twelve".