Search a number
-
+
300070116864 = 2938721823
BaseRepresentation
bin1000101110111011001…
…00101001111000000000
31001200112101212100000000
410113131210221320000
514404020422214424
6345503400000000
730452005623600
oct4273544517000
91050471770000
10300070116864
11106293838121
124a1a4a60000
13223b150b68b
1410748594c00
157c1390e3c9
hex45dd929e00

300070116864 has 540 divisors, whose sum is σ = 1046681517024. Its totient is φ = 85687289856.

The previous prime is 300070116833. The next prime is 300070116869. The reversal of 300070116864 is 468611070003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300070116869) 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 53 ways as a sum of consecutive naturals, for example, 164601457 + ... + 164603279.

Almost surely, 2300070116864 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 300070116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523340758512).

300070116864 is an abundant number, since it is smaller than the sum of its proper divisors (746611400160).

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

300070116864 is an frugal number, since it uses more digits than its factorization.

300070116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 300070116864 its reverse (468611070003), we get a palindrome (768681186867).

The spelling of 300070116864 in words is "three hundred billion, seventy million, one hundred sixteen thousand, eight hundred sixty-four".