Search a number
-
+
1260226042848 = 25341789271771
BaseRepresentation
bin10010010101101011010…
…100110101101111100000
311110110212022122002020000
4102111223110311233200
5131121420331332343
62402535001420000
7160022401422543
oct22255324655740
94413768562200
101260226042848
11446505824523
121842a719a600
1391ab9b19c56
1444dd101c85a
1522bac1dded3
hex1256b535be0

1260226042848 has 120 divisors (see below), whose sum is σ = 3708375141240. Its totient is φ = 419838992640.

The previous prime is 1260226042741. The next prime is 1260226042913. The reversal of 1260226042848 is 8482406220621.

1260226042848 is a `hidden beast` number, since 12 + 6 + 0 + 2 + 2 + 604 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×12602260428482 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4501203 + ... + 4772973.

It is an arithmetic number, because the mean of its divisors is an integer number (30903126177).

Almost surely, 21260226042848 is an apocalyptic number.

1260226042848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260226042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854187570620).

1260226042848 is an abundant number, since it is smaller than the sum of its proper divisors (2448149098392).

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

1260226042848 is a wasteful number, since it uses less digits than its factorization.

1260226042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273582 (or 273565 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1260226042848 in words is "one trillion, two hundred sixty billion, two hundred twenty-six million, forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1789 2592 3578 5367 7156 10734 14312 16101 21468 28624 32202 42936 48303 57248 64404 85872 96606 128808 144909 171744 193212 257616 271771 289818 386424 515232 543542 579636 772848 815313 1087084 1159272 1545696 1630626 2174168 2318544 2445939 3261252 4348336 4637088 4891878 6522504 7337817 8696672 9783756 13045008 14675634 19567512 22013451 26090016 29351268 39135024 44026902 58702536 78270048 88053804 117405072 176107608 234810144 352215216 486198319 704430432 972396638 1458594957 1944793276 2917189914 3889586552 4375784871 5834379828 7779173104 8751569742 11668759656 13127354613 15558346208 17503139484 23337519312 26254709226 35006278968 39382063839 46675038624 52509418452 70012557936 78764127678 105018836904 140025115872 157528255356 210037673808 315056510712 420075347616 630113021424 1260226042848