Search a number
-
+
99533491200 = 210335211131953
BaseRepresentation
bin101110010110010101…
…0001000110000000000
3100111220122211020111000
41130230222020300000
53112321033204300
6113420340052000
710122350500353
oct1345452106000
9314818736430
1099533491200
1139237074140
1217359694000
139502c82730
144b6310629a
1528c82d9c00
hex172ca88c00

99533491200 has 2112 divisors, whose sum is σ = 460545523200. Its totient is φ = 20702822400.

The previous prime is 99533491069. The next prime is 99533491201. The reversal of 99533491200 is 219433599.

99533491200 is a `hidden beast` number, since 9 + 9 + 533 + 4 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99533491201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1877990374 + ... + 1877990426.

Almost surely, 299533491200 is an apocalyptic number.

99533491200 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 99533491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230272761600).

99533491200 is an abundant number, since it is smaller than the sum of its proper divisors (361012032000).

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

99533491200 is a wasteful number, since it uses less digits than its factorization.

99533491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 99533491200 in words is "ninety-nine billion, five hundred thirty-three million, four hundred ninety-one thousand, two hundred".