Search a number
-
+
668000006814 = 23731750172751
BaseRepresentation
bin10011011100001111110…
…01110011001010011110
32100212020001212022111010
421232013321303022132
541421031000204224
61230512554240050
766155443241520
oct11560771631236
92325201768433
10668000006814
1123832a653138
12a9567a26026
134acb893092a
142448d403a10
1512599abce29
hex9b87e7329e

668000006814 has 32 divisors (see below), whose sum is σ = 1531673773056. Its totient is φ = 190255068000.

The previous prime is 668000006803. The next prime is 668000006819. The reversal of 668000006814 is 418600000866.

It is a super-3 number, since 3×6680000068143 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668000006819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25073062 + ... + 25099689.

It is an arithmetic number, because the mean of its divisors is an integer number (47864805408).

Almost surely, 2668000006814 is an apocalyptic number.

668000006814 is an abundant number, since it is smaller than the sum of its proper divisors (863673766242).

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

668000006814 is a wasteful number, since it uses less digits than its factorization.

668000006814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50173080.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 668000006814 in words is "six hundred sixty-eight billion, six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 317 634 951 1902 2219 4438 6657 13314 50172751 100345502 150518253 301036506 351209257 702418514 1053627771 2107255542 15904762067 31809524134 47714286201 95428572402 111333334469 222666668938 334000003407 668000006814