Search a number
-
+
701664768 = 293472417
BaseRepresentation
bin101001110100101…
…000111000000000
31210220022021010000
4221310220320000
52414111233033
6153343040000
723250023610
oct5164507000
91726267100
10701664768
11330087142
12176ba0000
13b24a306c
146928ca40
1541900a13
hex29d28e00

701664768 has 200 divisors, whose sum is σ = 2394458352. Its totient is φ = 200392704.

The previous prime is 701664767. The next prime is 701664793. The reversal of 701664768 is 867466107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701664763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289096 + ... + 291512.

Almost surely, 2701664768 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 701664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197229176).

701664768 is an abundant number, since it is smaller than the sum of its proper divisors (1692793584).

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

701664768 is an equidigital number, since it uses as much as digits as its factorization.

701664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 701664768 is about 26488.9555853001. The cubic root of 701664768 is about 888.6073274155.

The spelling of 701664768 in words is "seven hundred one million, six hundred sixty-four thousand, seven hundred sixty-eight".