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99622198080 = 2634537109953
BaseRepresentation
bin101110011000111110…
…0100001101101000000
3100112010211202000110000
41130301330201231000
53113011240314310
6113433225240000
710124505466116
oct1346174415500
9315124660400
1099622198080
1139282151a09
1217383333000
139518470c02
144b70bd7ab6
1528d0ead4c0
hex1731f21b40

99622198080 has 560 divisors, whose sum is σ = 367675759440. Its totient is φ = 25583910912.

The previous prime is 99622198057. The next prime is 99622198087. The reversal of 99622198080 is 8089122699.

99622198080 is a `hidden beast` number, since 9 + 9 + 622 + 1 + 9 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4570841664 + 95051356416 = 67608^2 + 308304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99622198087) 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 79 ways as a sum of consecutive naturals, for example, 104534884 + ... + 104535836.

Almost surely, 299622198080 is an apocalyptic number.

99622198080 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 99622198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183837879720).

99622198080 is an abundant number, since it is smaller than the sum of its proper divisors (268053561360).

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

99622198080 is a wasteful number, since it uses less digits than its factorization.

99622198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 99622198080 in words is "ninety-nine billion, six hundred twenty-two million, one hundred ninety-eight thousand, eighty".