Search a number
-
+
99136224000 = 283553111961
BaseRepresentation
bin101110001010011111…
…0101011101100000000
3100110212222021222100000
41130110332223230000
53111012333132000
6113313105200000
710106455000062
oct1342476535400
9313788258300
1099136224000
11390528a5440
1217268630000
13946b889c98
144b26453732
1528a34b6000
hex1714fabb00

99136224000 has 1728 divisors, whose sum is σ = 431767365120. Its totient is φ = 22394880000.

The previous prime is 99136223999. The next prime is 99136224097. The reversal of 99136224000 is 42263199.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1625183970 + ... + 1625184030.

Almost surely, 299136224000 is an apocalyptic number.

99136224000 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 99136224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215883682560).

99136224000 is an abundant number, since it is smaller than the sum of its proper divisors (332631141120).

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

99136224000 is a wasteful number, since it uses less digits than its factorization.

99136224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 99136224000 its reverse (42263199), we get a palindrome (99178487199).

The spelling of 99136224000 in words is "ninety-nine billion, one hundred thirty-six million, two hundred twenty-four thousand".