Search a number
-
+
630840476644 = 2271737137261451
BaseRepresentation
bin10010010111000010000…
…01011100001111100100
32020022022100122121001221
421023201001130033210
540313430130223034
61201445404430124
763401546402050
oct11134101341744
92208270577057
10630840476644
112235a1004124
12a2317248344
13476461a7c61
1422766192c60
1511622666bb4
hex92e105c3e4

630840476644 has 96 divisors (see below), whose sum is σ = 1382022722304. Its totient is φ = 245771366400.

The previous prime is 630840476641. The next prime is 630840476663. The reversal of 630840476644 is 446674048036.

It is a junction number, because it is equal to n+sod(n) for n = 630840476591 and 630840476600.

It is not an unprimeable number, because it can be changed into a prime (630840476641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2282119 + ... + 2543569.

It is an arithmetic number, because the mean of its divisors is an integer number (14396070024).

Almost surely, 2630840476644 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 630840476644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691011361152).

630840476644 is an abundant number, since it is smaller than the sum of its proper divisors (751182245660).

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

630840476644 is a wasteful number, since it uses less digits than its factorization.

630840476644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261653 (or 261651 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 52.

The spelling of 630840476644 in words is "six hundred thirty billion, eight hundred forty million, four hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 137 148 238 259 274 476 518 548 629 959 1036 1258 1918 2329 2516 3836 4403 4658 5069 8806 9316 10138 16303 17612 20276 32606 35483 65212 70966 86173 141932 172346 261451 344692 522902 603211 1045804 1206422 1830157 2412844 3660314 4444667 7320628 8889334 9673687 17778668 19347374 31112669 35818787 38694748 62225338 67715809 71637574 124450676 135431618 143275148 164452679 250731509 270863236 328905358 501463018 608919379 657810716 1002926036 1151168753 1217838758 1325295119 2302337506 2435677516 2650590238 4262435653 4604675012 5301180476 8524871306 9277065833 17049742612 18554131666 22530017023 37108263332 45060034046 90120068092 157710119161 315420238322 630840476644