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99215663040 = 263251323292137
BaseRepresentation
bin101110001100110110…
…1101101111111000000
3100111002111202220012200
41130121231231333000
53111143202204130
6113325023553200
710111441135554
oct1343155557700
9314074686180
1099215663040
113909372313a
121728b15b800
139482181c30
144b32c11864
1528aa458760
hex1719b6dfc0

99215663040 has 1008 divisors, whose sum is σ = 400068946368. Its totient is φ = 22390308864.

The previous prime is 99215662999. The next prime is 99215663093. The reversal of 99215663040 is 4036651299.

99215663040 is a `hidden beast` number, since 9 + 9 + 2 + 1 + 5 + 6 + 630 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 724201852 + ... + 724201988.

It is an arithmetic number, because the mean of its divisors is an integer number (396893796).

Almost surely, 299215663040 is an apocalyptic number.

99215663040 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 99215663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200034473184).

99215663040 is an abundant number, since it is smaller than the sum of its proper divisors (300853283328).

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

99215663040 is a wasteful number, since it uses less digits than its factorization.

99215663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 99215663040 in words is "ninety-nine billion, two hundred fifteen million, six hundred sixty-three thousand, forty".