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99337246560 = 25345231512207
BaseRepresentation
bin101110010000011110…
…1100001011101100000
3100111101222112222110000
41130200331201131200
53111420313342220
6113345045540000
710114445443506
oct1344075413540
9314358488400
1099337246560
1139146316692
1217303a14600
1394a1411846
144b45020676
1528b5e73390
hex1720f61760

99337246560 has 480 divisors, whose sum is σ = 368409710592. Its totient is φ = 25158988800.

The previous prime is 99337246549. The next prime is 99337246597. The reversal of 99337246560 is 6564273399.

99337246560 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 72 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 99337246497 and 99337246506.

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 79 ways as a sum of consecutive naturals, for example, 45008977 + ... + 45011183.

Almost surely, 299337246560 is an apocalyptic number.

99337246560 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 99337246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204855296).

99337246560 is an abundant number, since it is smaller than the sum of its proper divisors (269072464032).

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

99337246560 is a wasteful number, since it uses less digits than its factorization.

99337246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 99337246560 in words is "ninety-nine billion, three hundred thirty-seven million, two hundred forty-six thousand, five hundred sixty".