Search a number
-
+
299489984640 = 2732571121723157
BaseRepresentation
bin1000101101110101111…
…11101000000010000000
31001122000222020120012100
410112322333220002000
514401323414002030
6345330033430400
730431432603160
oct4267277500200
91048028216170
10299489984640
1110601631a200
124a06270b400
132231b27ac82
14106d15005a0
157bcca18360
hex45bafe8080

299489984640 has 2304 divisors, whose sum is σ = 1444498997760. Its totient is φ = 55667589120.

The previous prime is 299489984639. The next prime is 299489984669. The reversal of 299489984640 is 46489984992.

299489984640 is a `hidden beast` number, since 2 + 9 + 9 + 489 + 9 + 84 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1907579442 + ... + 1907579598.

It is an arithmetic number, because the mean of its divisors is an integer number (626952690).

Almost surely, 2299489984640 is an apocalyptic number.

299489984640 is a gapful number since it is divisible by the number (20) 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 299489984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722249498880).

299489984640 is an abundant number, since it is smaller than the sum of its proper divisors (1145009013120).

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

299489984640 is a wasteful number, since it uses less digits than its factorization.

299489984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 299489984640 in words is "two hundred ninety-nine billion, four hundred eighty-nine million, nine hundred eighty-four thousand, six hundred forty".