Search a number
-
+
4068999264 = 25311191391459
BaseRepresentation
bin1111001010001000…
…0000000001100000
3101111120112120122110
43302202000001200
531313130434024
61511432435320
7202555631421
oct36242000140
911446476573
104068999264
1117a8931410
12956848b40
134caccc895
142a8595648
1518c354629
hexf2880060

4068999264 has 192 divisors, whose sum is σ = 12362112000. Its totient is φ = 1158935040.

The previous prime is 4068999257. The next prime is 4068999269. The reversal of 4068999264 is 4629998604.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068999269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788167 + ... + 2789625.

It is an arithmetic number, because the mean of its divisors is an integer number (64386000).

Almost surely, 24068999264 is an apocalyptic number.

4068999264 is a gapful number since it is divisible by the number (44) 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 4068999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

4068999264 is an abundant number, since it is smaller than the sum of its proper divisors (8293112736).

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

4068999264 is a wasteful number, since it uses less digits than its factorization.

4068999264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The square root of 4068999264 is about 63788.7079662224. The cubic root of 4068999264 is about 1596.4765255674.

The spelling of 4068999264 in words is "four billion, sixty-eight million, nine hundred ninety-nine thousand, two hundred sixty-four".