Search a number
-
+
8723912368 = 243146138153
BaseRepresentation
bin10000001111111110…
…00101011010110000
3211111222120122222111
420013333011122300
5120331310143433
64001355415104
7426121013563
oct100777053260
924458518874
108723912368
11377746a536
121835754494
13a90505632
145ca8a84da
15360d42dcd
hex207fc56b0

8723912368 has 40 divisors (see below), whose sum is σ = 17486130816. Its totient is φ = 4211980800.

The previous prime is 8723912363. The next prime is 8723912383. The reversal of 8723912368 is 8632193278.

8723912368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×87239123682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8723912363) 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 7 ways as a sum of consecutive naturals, for example, 209580 + ... + 247732.

Almost surely, 28723912368 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 8723912368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743065408).

8723912368 is an abundant number, since it is smaller than the sum of its proper divisors (8762218448).

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

8723912368 is a wasteful number, since it uses less digits than its factorization.

8723912368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38653 (or 38647 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 8723912368 is about 93401.8863192816. The cubic root of 8723912368 is about 2058.5927146443.

The spelling of 8723912368 in words is "eight billion, seven hundred twenty-three million, nine hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 461 496 922 1844 3688 7376 14291 28582 38153 57164 76306 114328 152612 228656 305224 610448 1182743 2365486 4730972 9461944 17588533 18923888 35177066 70354132 140708264 281416528 545244523 1090489046 2180978092 4361956184 8723912368