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6374681028 = 2232439714241
BaseRepresentation
bin1011110111111010…
…11110100111000100
3121110021002100102100
411323331132213010
5101023404243103
62532315312100
7313653615612
oct57375364704
917407070370
106374681028
112781383231
12129aa4b630
137a78b3c11
144468a26b2
152749995a3
hex17bf5e9c4

6374681028 has 72 divisors (see below), whose sum is σ = 16509388896. Its totient is φ = 2072851200.

The previous prime is 6374680993. The next prime is 6374681077. The reversal of 6374681028 is 8201864736.

6374681028 is a `hidden beast` number, since 637 + 4 + 6 + 8 + 1 + 0 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500988 + ... + 1505228.

It is an arithmetic number, because the mean of its divisors is an integer number (229297068).

Almost surely, 26374681028 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 6374681028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254694448).

6374681028 is an abundant number, since it is smaller than the sum of its proper divisors (10134707868).

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

6374681028 is a wasteful number, since it uses less digits than its factorization.

6374681028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6374681028 is about 79841.5996082243. The cubic root of 6374681028 is about 1854.1839590125.

The spelling of 6374681028 in words is "six billion, three hundred seventy-four million, six hundred eighty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 971 1548 1942 2913 3884 4241 5826 8482 8739 11652 12723 16964 17478 25446 34956 38169 41753 50892 76338 83506 125259 152676 167012 182363 250518 364726 375777 501036 547089 729452 751554 1094178 1503108 1641267 2188356 3282534 4118011 6565068 8236022 12354033 16472044 24708066 37062099 49416132 74124198 148248396 177074473 354148946 531223419 708297892 1062446838 1593670257 2124893676 3187340514 6374681028