Search a number
-
+
6707691144 = 23327211219827
BaseRepresentation
bin1100011111100111…
…10011111010001000
3122022110201000102100
412033303303322020
5102214132104034
63025333033400
7325136301600
oct61763637210
918273630370
106707691144
112932353700
121372485860
1382b89bb1b
14478bc9c00
15293d29099
hex18fcf3e88

6707691144 has 432 divisors, whose sum is σ = 24480565200. Its totient is φ = 1648563840.

The previous prime is 6707691121. The next prime is 6707691161. The reversal of 6707691144 is 4411967076.

It is a self number, because there is not a number n which added to its sum of digits gives 6707691144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8110459 + ... + 8111285.

It is an arithmetic number, because the mean of its divisors is an integer number (56667975).

Almost surely, 26707691144 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 6707691144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240282600).

6707691144 is an abundant number, since it is smaller than the sum of its proper divisors (17772874056).

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

6707691144 is a wasteful number, since it uses less digits than its factorization.

6707691144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6707691144 is about 81900.4953831172. The cubic root of 6707691144 is about 1885.9247169928.

The spelling of 6707691144 in words is "six billion, seven hundred seven million, six hundred ninety-one thousand, one hundred forty-four".