Search a number
-
+
9144986634 = 23271910337087
BaseRepresentation
bin10001000010001010…
…10110110000001010
3212121022220110021200
420201011112300022
5122212104033014
64111240445030
7442423050420
oct104105266012
925538813250
109144986634
1139731198a3
121932779776
13b298152c4
1462a797110
15387cbaa09
hex221156c0a

9144986634 has 96 divisors (see below), whose sum is σ = 24068628480. Its totient is φ = 2451236256.

The previous prime is 9144986603. The next prime is 9144986657. The reversal of 9144986634 is 4366894419.

It is a happy number.

9144986634 is a `hidden beast` number, since 91 + 4 + 498 + 6 + 63 + 4 = 666.

It is a Smith number, since the sum of its digits (54) 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 47 ways as a sum of consecutive naturals, for example, 228039 + ... + 265125.

It is an arithmetic number, because the mean of its divisors is an integer number (250714880).

Almost surely, 29144986634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144986634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034314240).

9144986634 is an abundant number, since it is smaller than the sum of its proper divisors (14923641846).

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

9144986634 is a wasteful number, since it uses less digits than its factorization.

9144986634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37224 (or 37221 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 9144986634 is about 95629.4234741588. The cubic root of 9144986634 is about 2091.1941645944.

The spelling of 9144986634 in words is "nine billion, one hundred forty-four million, nine hundred eighty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 103 114 126 133 171 206 266 309 342 399 618 721 798 927 1197 1442 1854 1957 2163 2394 3914 4326 5871 6489 11742 12978 13699 17613 27398 35226 37087 41097 74174 82194 111261 123291 222522 246582 259609 333783 519218 667566 704653 778827 1409306 1557654 2113959 2336481 3819961 4227918 4672962 4932571 6341877 7639922 9865142 11459883 12683754 14797713 22919766 26739727 29595426 34379649 44393139 53479454 68759298 72579259 80219181 88786278 145158518 160438362 217737777 240657543 435475554 481315086 508054813 653213331 1016109626 1306426662 1524164439 3048328878 4572493317 9144986634