Search a number
-
+
99131592672 = 25327231226601
BaseRepresentation
bin101110001010010110…
…1000000111111100000
3100110212122120200100100
41130110231000333200
53111010141431142
6113312422022400
710106400430500
oct1342455007740
9313778520310
1099131592672
11390502218a2
1217266b77a00
13946a927c58
144b259a9a00
1528a2d9db4c
hex1714b40fe0

99131592672 has 216 divisors, whose sum is σ = 338510757312. Its totient is φ = 27409536000.

The previous prime is 99131592671. The next prime is 99131592683. The reversal of 99131592672 is 27629513199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99131592671) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 324172 + ... + 550772.

It is an arithmetic number, because the mean of its divisors is an integer number (1567179432).

Almost surely, 299131592672 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 99131592672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169255378656).

99131592672 is an abundant number, since it is smaller than the sum of its proper divisors (239379164640).

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

99131592672 is a wasteful number, since it uses less digits than its factorization.

99131592672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226662 (or 226644 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 99131592672 in words is "ninety-nine billion, one hundred thirty-one million, five hundred ninety-two thousand, six hundred seventy-two".