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99993502784 = 26717193122291
BaseRepresentation
bin101110100100000010…
…0111100010001000000
3100120002201102020202002
41131020010330101000
53114241314042114
6113534131443132
710136634515120
oct1351004742100
9316081366662
1099993502784
11394527a86aa
12174677564a8
139577376336
144ba824cc80
1529038a47de
hex174813c440

99993502784 has 224 divisors, whose sum is σ = 260912701440. Its totient is φ = 36976435200.

The previous prime is 99993502757. The next prime is 99993502799. The reversal of 99993502784 is 48720539999.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 99993502784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4474679 + ... + 4496969.

Almost surely, 299993502784 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 99993502784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130456350720).

99993502784 is an abundant number, since it is smaller than the sum of its proper divisors (160919198656).

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

99993502784 is a wasteful number, since it uses less digits than its factorization.

99993502784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22377 (or 22367 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 65.

The spelling of 99993502784 in words is "ninety-nine billion, nine hundred ninety-three million, five hundred two thousand, seven hundred eighty-four".