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99388052695008 = 253371123111633767
BaseRepresentation
bin10110100110010010010101…
…100100110110011111100000
3111000220101221021111111102000
4112212102111210312133200
5101011333212442220013
6551214124024124000
726635356411651240
oct2646222544663740
9430811837444360
1099388052695008
1129739266783600
12b1920a1906600
13435c33a243bcc
141a7859bd49b20
15b754a0b3e973
hex5a64959367e0

99388052695008 has 1152 divisors, whose sum is σ = 376318892113920. Its totient is φ = 24954227020800.

The previous prime is 99388052695007. The next prime is 99388052695091. The reversal of 99388052695008 is 80059625088399.

99388052695008 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 8 + 0 + 52 + 69 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99388052695007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26383871941 + ... + 26383875707.

It is an arithmetic number, because the mean of its divisors is an integer number (326665704960).

Almost surely, 299388052695008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99388052695008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188159446056960).

99388052695008 is an abundant number, since it is smaller than the sum of its proper divisors (276930839418912).

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

99388052695008 is a wasteful number, since it uses less digits than its factorization.

99388052695008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 99388052695008 in words is "ninety-nine trillion, three hundred eighty-eight billion, fifty-two million, six hundred ninety-five thousand, eight".