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99247468320 = 253357111359389
BaseRepresentation
bin101110001101110011…
…1000010111100100000
3100111011201121202212000
41130123213002330200
53111224322441240
6113332121404000
710112305363410
oct1343347027440
9314151552760
1099247468320
11390aa6769a0
1217299939600
139488939820
144b37130640
1528ad13c430
hex171b9c2f20

99247468320 has 1536 divisors, whose sum is σ = 475517952000. Its totient is φ = 18665717760.

The previous prime is 99247468289. The next prime is 99247468351. The reversal of 99247468320 is 2386474299.

99247468320 is a `hidden beast` number, since 9 + 92 + 474 + 6 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99247468289) and next prime (99247468351).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255134686 + ... + 255135074.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 299247468320 is an apocalyptic number.

99247468320 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 99247468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976000).

99247468320 is an abundant number, since it is smaller than the sum of its proper divisors (376270483680).

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

99247468320 is a wasteful number, since it uses less digits than its factorization.

99247468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 99247468320 in words is "ninety-nine billion, two hundred forty-seven million, four hundred sixty-eight thousand, three hundred twenty".