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99128432760 = 233572172234447
BaseRepresentation
bin101110001010010000…
…0111101100001111000
3100110212102122010202120
41130110200331201320
53111003334322020
6113312230201240
710106331530100
oct1342440754170
9313772563676
1099128432760
11390494637a5
1217265ab3220
13946a08c896
144b253c6200
1528a2977740
hex171483d878

99128432760 has 384 divisors, whose sum is σ = 368012574720. Its totient is φ = 21224706048.

The previous prime is 99128432701. The next prime is 99128432779. The reversal of 99128432760 is 6723482199.

99128432760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22288857 + ... + 22293303.

It is an arithmetic number, because the mean of its divisors is an integer number (958366080).

Almost surely, 299128432760 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 99128432760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184006287360).

99128432760 is an abundant number, since it is smaller than the sum of its proper divisors (268884141960).

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

99128432760 is a wasteful number, since it uses less digits than its factorization.

99128432760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 99128432760 in words is "ninety-nine billion, one hundred twenty-eight million, four hundred thirty-two thousand, seven hundred sixty".