Search a number
-
+
4674363264 = 27325997709
BaseRepresentation
bin1000101101001110…
…10001111110000000
3110001202122020221100
410112213101332000
534033114111024
62051455454400
7223556301144
oct42647217600
913052566840
104674363264
111a8961333a
12aa5527400
13596555b2c
14324b37224
151c55817c9
hex1169d1f80

4674363264 has 192 divisors, whose sum is σ = 13839462000. Its totient is φ = 1513783296.

The previous prime is 4674363263. The next prime is 4674363269. The reversal of 4674363264 is 4623634764.

4674363264 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 3 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674363263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6592542 + ... + 6593250.

Almost surely, 24674363264 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 4674363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919731000).

4674363264 is an abundant number, since it is smaller than the sum of its proper divisors (9165098736).

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

4674363264 is a wasteful number, since it uses less digits than its factorization.

4674363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The square root of 4674363264 is about 68369.3152225470. The cubic root of 4674363264 is about 1672.0175055210.

The spelling of 4674363264 in words is "four billion, six hundred seventy-four million, three hundred sixty-three thousand, two hundred sixty-four".