Search a number
-
+
99325919520 = 2535523313583
BaseRepresentation
bin101110010000001001…
…0010100000100100000
3100111101012020111200000
41130200102110010200
53111404413411040
6113344003100000
710114250246202
oct1344022240440
9314335214600
1099325919520
113913a98a4a3
1217300071600
13949bc76c59
144b43712772
1528b4e87130
hex1720494120

99325919520 has 576 divisors, whose sum is σ = 378723631104. Its totient is φ = 24511196160.

The previous prime is 99325919519. The next prime is 99325919527. The reversal of 99325919520 is 2591952399.

It is a happy number.

99325919520 is a `hidden beast` number, since 9 + 9 + 3 + 25 + 91 + 9 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99325919527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27719649 + ... + 27723231.

It is an arithmetic number, because the mean of its divisors is an integer number (657506304).

Almost surely, 299325919520 is an apocalyptic number.

99325919520 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 99325919520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189361815552).

99325919520 is an abundant number, since it is smaller than the sum of its proper divisors (279397711584).

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

99325919520 is a wasteful number, since it uses less digits than its factorization.

99325919520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 99325919520 in words is "ninety-nine billion, three hundred twenty-five million, nine hundred nineteen thousand, five hundred twenty".