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99206341920 = 25335779131317
BaseRepresentation
bin101110001100100101…
…0001010010100100000
3100111001212020100001000
41130121022022110200
53111133310420140
6113324052112000
710111265664360
oct1343112122440
9314055210030
1099206341920
1139089437034
1217288005600
13948026a38a
144b318a69a0
1528a9716a30
hex171928a520

99206341920 has 768 divisors, whose sum is σ = 406193356800. Its totient is φ = 22147706880.

The previous prime is 99206341903. The next prime is 99206341931. The reversal of 99206341920 is 2914360299.

It is a happy number.

99206341920 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 634 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312953602 + ... + 312953918.

It is an arithmetic number, because the mean of its divisors is an integer number (528897600).

Almost surely, 299206341920 is an apocalyptic number.

99206341920 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 99206341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203096678400).

99206341920 is an abundant number, since it is smaller than the sum of its proper divisors (306987014880).

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

99206341920 is a wasteful number, since it uses less digits than its factorization.

99206341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 99206341920 in words is "ninety-nine billion, two hundred six million, three hundred forty-one thousand, nine hundred twenty".