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99920435832 = 23327317238001
BaseRepresentation
bin101110100001110111…
…0001101101001111000
3100112220121221001201200
41131003232031221320
53114114112421312
6113523001414200
710135056456000
oct1350356155170
9315817831650
1099920435832
1139415532398
121744719a360
1395651a2859
144b9c66d000
1528ec2700dc
hex1743b8da78

99920435832 has 192 divisors, whose sum is σ = 334154808000. Its totient is φ = 26869248000.

The previous prime is 99920435827. The next prime is 99920435861. The reversal of 99920435832 is 23853402999.

99920435832 is a `hidden beast` number, since 99 + 92 + 0 + 435 + 8 + 32 = 666.

99920435832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300832 + ... + 538832.

It is an arithmetic number, because the mean of its divisors is an integer number (1740389625).

Almost surely, 299920435832 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 99920435832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167077404000).

99920435832 is an abundant number, since it is smaller than the sum of its proper divisors (234234372168).

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

99920435832 is a wasteful number, since it uses less digits than its factorization.

99920435832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238051 (or 238030 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 99920435832 in words is "ninety-nine billion, nine hundred twenty million, four hundred thirty-five thousand, eight hundred thirty-two".