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99135397152 = 25341110333757
BaseRepresentation
bin101110001010011101…
…1100001110100100000
3100110212220201222010000
41130110323201310200
53111012130202102
6113313035340000
710106444654331
oct1342473416440
9313786658100
1099135397152
11390523901a0
12172682b1600
13946b65a81c
144b262ba288
1528a33a101c
hex1714ee1d20

99135397152 has 240 divisors, whose sum is σ = 321156868032. Its totient is φ = 29748487680.

The previous prime is 99135397117. The next prime is 99135397199. The reversal of 99135397152 is 25179353199.

99135397152 is a `hidden beast` number, since 9 + 91 + 3 + 539 + 7 + 15 + 2 = 666.

It is a super-2 number, since 2×991353971522 (a number of 23 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 2919858 + ... + 2953614.

Almost surely, 299135397152 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 99135397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160578434016).

99135397152 is an abundant number, since it is smaller than the sum of its proper divisors (222021470880).

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

99135397152 is a wasteful number, since it uses less digits than its factorization.

99135397152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33893 (or 33876 counting only the distinct ones).

The product of its digits is 2296350, while the sum is 54.

The spelling of 99135397152 in words is "ninety-nine billion, one hundred thirty-five million, three hundred ninety-seven thousand, one hundred fifty-two".