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99575224320 = 211351113191193
BaseRepresentation
bin101110010111100100…
…1010101100000000000
3100112000120100111120010
41130233021111200000
53112412224134240
6113424430344520
710123365304305
oct1345711254000
9315016314503
1099575224320
1139258688920
121736b65b140
13950b8050a0
144b6888b0ac
1528cbcd0280
hex172f255800

99575224320 has 768 divisors, whose sum is σ = 394283635200. Its totient is φ = 21092106240.

The previous prime is 99575224297. The next prime is 99575224327. The reversal of 99575224320 is 2342257599.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99575224320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99575224327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83465644 + ... + 83466836.

It is an arithmetic number, because the mean of its divisors is an integer number (513390150).

Almost surely, 299575224320 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 99575224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197141817600).

99575224320 is an abundant number, since it is smaller than the sum of its proper divisors (294708410880).

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

99575224320 is a wasteful number, since it uses less digits than its factorization.

99575224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 99575224320 in words is "ninety-nine billion, five hundred seventy-five million, two hundred twenty-four thousand, three hundred twenty".