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99680094360 = 23325731173387
BaseRepresentation
bin101110011010101100…
…1011000100010011000
3100112021212200110012200
41130311121120202120
53113121101004420
6113443054210200
710126110552000
oct1346531304230
9315255613180
1099680094360
11393018a6280
121739a7b3960
139527462472
144b78789000
1528d60e7b90
hex1735658898

99680094360 has 384 divisors, whose sum is σ = 412147008000. Its totient is φ = 20712464640.

The previous prime is 99680094271. The next prime is 99680094373. The reversal of 99680094360 is 6349008699.

It is a happy number.

It is a super-2 number, since 2×996800943602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99680094297 and 99680094306.

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, 1321587 + ... + 1394973.

It is an arithmetic number, because the mean of its divisors is an integer number (1073299500).

Almost surely, 299680094360 is an apocalyptic number.

99680094360 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 99680094360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206073504000).

99680094360 is an abundant number, since it is smaller than the sum of its proper divisors (312466913640).

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

99680094360 is a wasteful number, since it uses less digits than its factorization.

99680094360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73436 (or 73415 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 99680094360 in words is "ninety-nine billion, six hundred eighty million, ninety-four thousand, three hundred sixty".