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99924088320 = 2936577649
BaseRepresentation
bin101110100001111110…
…0001001011000000000
3100112220212210122000000
41131003330021120000
53114121031311240
6113523212000000
710135132510440
oct1350374113000
9315825718000
1099924088320
11394175a7581
1217448460000
139565b811a4
144b9cd40120
1528ec742430
hex1743f09600

99924088320 has 560 divisors, whose sum is σ = 410580640800. Its totient is φ = 22836805632.

The previous prime is 99924088291. The next prime is 99924088331. The reversal of 99924088320 is 2388042999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13059856 + ... + 13067504.

Almost surely, 299924088320 is an apocalyptic number.

99924088320 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 99924088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205290320400).

99924088320 is an abundant number, since it is smaller than the sum of its proper divisors (310656552480).

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

99924088320 is an frugal number, since it uses more digits than its factorization.

99924088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99924088320 in words is "ninety-nine billion, nine hundred twenty-four million, eighty-eight thousand, three hundred twenty".