Search a number
-
+
99954032640 = 2153571119139
BaseRepresentation
bin101110100010110111…
…0011000000000000000
3100112222222010221212220
41131011232120000000
53114201213021030
6113530201451040
710135645154610
oct1350556300000
9315888127786
1099954032640
113943249a150
12174564a0a80
13956c136a17
144ba2cd6a40
1529001a9a10
hex1745b98000

99954032640 has 1024 divisors, whose sum is σ = 422779392000. Its totient is φ = 19534970880.

The previous prime is 99954032539. The next prime is 99954032657. The reversal of 99954032640 is 4623045999.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719093691 + ... + 719093829.

It is an arithmetic number, because the mean of its divisors is an integer number (412870500).

Almost surely, 299954032640 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 99954032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211389696000).

99954032640 is an abundant number, since it is smaller than the sum of its proper divisors (322825359360).

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

99954032640 is a wasteful number, since it uses less digits than its factorization.

99954032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 99954032640 in words is "ninety-nine billion, nine hundred fifty-four million, thirty-two thousand, six hundred forty".