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99812718720 = 273351113311303
BaseRepresentation
bin101110011110101001…
…1010011100010000000
3100112122010020110122000
41130331103103202000
53113404023444340
6113504152544000
710132311052641
oct1347523234200
9315563213560
1099812718720
113936a74a990
12174170b2000
139548a89610
144b8c22d6c8
1528e2a93d30
hex173d4d3880

99812718720 has 1024 divisors, whose sum is σ = 429030604800. Its totient is φ = 21598617600.

The previous prime is 99812718617. The next prime is 99812718721. The reversal of 99812718720 is 2781721899.

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

It is not an unprimeable number, because it can be changed into a prime (99812718721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76601589 + ... + 76602891.

It is an arithmetic number, because the mean of its divisors is an integer number (418975200).

Almost surely, 299812718720 is an apocalyptic number.

99812718720 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 99812718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214515302400).

99812718720 is an abundant number, since it is smaller than the sum of its proper divisors (329217886080).

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

99812718720 is a wasteful number, since it uses less digits than its factorization.

99812718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 99812718720 in words is "ninety-nine billion, eight hundred twelve million, seven hundred eighteen thousand, seven hundred twenty".