Search a number
-
+
12746109584 = 2413173799511
BaseRepresentation
bin10111101111011101…
…00011001010010000
31012220022001110021202
423313232203022100
5202101001001314
65504441210332
7630601100225
oct136756431220
935808043252
1012746109584
11545093486a
1225787909a8
1312818c95a0
1488cb5994c
154e90000de
hex2f7ba3290

12746109584 has 80 divisors (see below), whose sum is σ = 28236942720. Its totient is φ = 5521582080.

The previous prime is 12746109577. The next prime is 12746109599. The reversal of 12746109584 is 48590164721.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335389 + ... + 1344899.

It is an arithmetic number, because the mean of its divisors is an integer number (352961784).

Almost surely, 212746109584 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 12746109584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118471360).

12746109584 is an abundant number, since it is smaller than the sum of its proper divisors (15490833136).

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

12746109584 is a wasteful number, since it uses less digits than its factorization.

12746109584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9928 (or 9922 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 12746109584 in words is "twelve billion, seven hundred forty-six million, one hundred nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 379 442 758 884 1516 1768 3032 3536 4927 6064 6443 9511 9854 12886 19022 19708 25772 38044 39416 51544 76088 78832 83759 103088 123643 152176 161687 167518 247286 323374 335036 494572 646748 670072 989144 1293496 1340144 1978288 2101931 2586992 3604669 4203862 7209338 8407724 14418676 16815448 28837352 33630896 46860697 57674704 61279373 93721394 122558746 187442788 245117492 374885576 490234984 749771152 796631849 980469968 1593263698 3186527396 6373054792 12746109584