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99808641504 = 253311131794513
BaseRepresentation
bin101110011110100001…
…1110000000111100000
3100112121211120022202000
41130331003300013200
53113402003012004
6113503525324000
710132231312005
oct1347503600740
9315554508660
1099808641504
1139368415690
1217415866600
139547c8c870
144b8b88b8ac
1528e253ac39
hex173d0f01e0

99808641504 has 384 divisors, whose sum is σ = 343988467200. Its totient is φ = 27756380160.

The previous prime is 99808641437. The next prime is 99808641521. The reversal of 99808641504 is 40514680899.

99808641504 is a `hidden beast` number, since 9 + 98 + 0 + 8 + 6 + 41 + 504 = 666.

99808641504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 22113552 + ... + 22118064.

It is an arithmetic number, because the mean of its divisors is an integer number (895803300).

Almost surely, 299808641504 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 99808641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171994233600).

99808641504 is an abundant number, since it is smaller than the sum of its proper divisors (244179825696).

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

99808641504 is a wasteful number, since it uses less digits than its factorization.

99808641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 99808641504 in words is "ninety-nine billion, eight hundred eight million, six hundred forty-one thousand, five hundred four".