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99240612480 = 2733531229809
BaseRepresentation
bin101110001101100110…
…0111001001010000000
3100111011020201110102000
41130123030321022000
53111221044044410
6113331314424000
710112163200502
oct1343314711200
9314136643360
1099240612480
11390a6814009
1217297592000
1394873a9109
144b36267d72
1528ac735dc0
hex171b339280

99240612480 has 512 divisors, whose sum is σ = 364849920000. Its totient is φ = 25467125760.

The previous prime is 99240612469. The next prime is 99240612491. The reversal of 99240612480 is 8421604299.

99240612480 is a `hidden beast` number, since 9 + 9 + 24 + 0 + 612 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99240612469) and next prime (99240612491).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 122670316 + ... + 122671124.

It is an arithmetic number, because the mean of its divisors is an integer number (712597500).

Almost surely, 299240612480 is an apocalyptic number.

99240612480 is a gapful number since it is divisible by the number (90) 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 99240612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182424960000).

99240612480 is an abundant number, since it is smaller than the sum of its proper divisors (265609307520).

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

99240612480 is a wasteful number, since it uses less digits than its factorization.

99240612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 99240612480 in words is "ninety-nine billion, two hundred forty million, six hundred twelve thousand, four hundred eighty".