Search a number
-
+
99356060160 = 293357297397
BaseRepresentation
bin101110010001000010…
…1010010101000000000
3100111110021221210212000
41130202011102220000
53111440122411120
6113351001104000
710115064401610
oct1344205225000
9314407853760
1099356060160
11391559a6615
121730a188000
1394a529ac56
144b4771aa40
1528b793c990
hex1722152a00

99356060160 has 1280 divisors, whose sum is σ = 427322649600. Its totient is φ = 21403533312.

The previous prime is 99356060149. The next prime is 99356060161. The reversal of 99356060160 is 6106065399.

99356060160 is a `hidden beast` number, since 9 + 9 + 35 + 6 + 0 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (99356060161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1024289232 + ... + 1024289328.

It is an arithmetic number, because the mean of its divisors is an integer number (333845820).

Almost surely, 299356060160 is an apocalyptic number.

99356060160 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 99356060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213661324800).

99356060160 is an abundant number, since it is smaller than the sum of its proper divisors (327966589440).

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

99356060160 is a wasteful number, since it uses less digits than its factorization.

99356060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

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

The spelling of 99356060160 in words is "ninety-nine billion, three hundred fifty-six million, sixty thousand, one hundred sixty".