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99795395520 = 263552355799
BaseRepresentation
bin101110011110001000…
…1001110001111000000
3100112120220122100200000
41130330101032033000
53113340110124040
6113502333400000
710132010602662
oct1347421161700
9315526570600
1099795395520
1139360998797
1217411339000
1395453026c2
144b89c00532
1528e12c1130
hex173c44e3c0

99795395520 has 336 divisors, whose sum is σ = 371451225600. Its totient is φ = 25454601216.

The previous prime is 99795395473. The next prime is 99795395527. The reversal of 99795395520 is 2559359799.

99795395520 is a `hidden beast` number, since 9 + 9 + 79 + 5 + 3 + 9 + 552 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99795395527) 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 47 ways as a sum of consecutive naturals, for example, 1760581 + ... + 1816379.

It is an arithmetic number, because the mean of its divisors is an integer number (1105509600).

Almost surely, 299795395520 is an apocalyptic number.

99795395520 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 99795395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185725612800).

99795395520 is an abundant number, since it is smaller than the sum of its proper divisors (271655830080).

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

99795395520 is a wasteful number, since it uses less digits than its factorization.

99795395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55854 (or 55832 counting only the distinct ones).

The product of its (nonzero) digits is 34445250, while the sum is 63.

The spelling of 99795395520 in words is "ninety-nine billion, seven hundred ninety-five million, three hundred ninety-five thousand, five hundred twenty".