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668675811076 = 227213244932
BaseRepresentation
bin10011011101100000010…
…11110010011100000100
32100220222011111201122121
421232300023302130010
541423422001423301
61231104015135324
766211260420400
oct11566013623404
92326864451577
10668675811076
11238647076959
12a9716214544
134b09594ac00
1424515080100
15125d90b13a1
hex9bb02f2704

668675811076 has 81 divisors (see below), whose sum is σ = 1474325895231. Its totient is φ = 264472213824.

The previous prime is 668675811053. The next prime is 668675811077. The reversal of 668675811076 is 670118576866.

It is a happy number.

The square root of 668675811076 is 817726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72321193476 + 596354617600 = 268926^2 + 772240^2 .

It is not an unprimeable number, because it can be changed into a prime (668675811077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148823886 + ... + 148828378.

Almost surely, 2668675811076 is an apocalyptic number.

668675811076 is the 817726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668675811076

668675811076 is an abundant number, since it is smaller than the sum of its proper divisors (805650084155).

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

668675811076 is an equidigital number, since it uses as much as digits as its factorization.

668675811076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 668675811076 in words is "six hundred sixty-eight billion, six hundred seventy-five million, eight hundred eleven thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4493 4732 8281 8986 16562 17972 31451 33124 58409 62902 116818 125804 220157 233636 408863 440314 759317 817726 880628 1518634 1635452 2862041 3037268 5315219 5724082 10630438 11448164 20187049 21260876 37206533 40374098 74413066 80748196 141309343 148826132 262431637 282618686 524863274 565237372 989165401 1049726548 1837021459 1978330802 3411611281 3674042918 3956661604 6823222562 7348085836 12859150213 13646445124 23881278967 25718300426 47762557934 51436600852 95525115868 167168952769 334337905538 668675811076