Search a number
-
+
4674368790 = 23357131719231
BaseRepresentation
bin1000101101001110…
…10011010100010110
3110001202122112112000
410112213103110112
534033114300130
62051455540130
7223556323230
oct42647232426
913052575460
104674368790
111a89617503
12aa552a646
135965584c0
14324b39250
151c5583260
hex1169d3516

4674368790 has 768 divisors, whose sum is σ = 17696931840. Its totient is φ = 851005440.

The previous prime is 4674368789. The next prime is 4674368801. The reversal of 4674368790 is 978634764.

It is a happy number.

4674368790 is a `hidden beast` number, since 46 + 7 + 436 + 87 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150786075 + ... + 150786105.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 24674368790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4674368790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848465920).

4674368790 is an abundant number, since it is smaller than the sum of its proper divisors (13022563050).

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

4674368790 is a wasteful number, since it uses less digits than its factorization.

4674368790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4674368790 is about 68369.3556354014. The cubic root of 4674368790 is about 1672.0181644032.

The spelling of 4674368790 in words is "four billion, six hundred seventy-four million, three hundred sixty-eight thousand, seven hundred ninety".