Search a number
-
+
5463641140 = 2251924118457
BaseRepresentation
bin1010001011010100…
…01000110000110100
3112002202210201122021
411011222020300310
542142143004030
62302052442524
7252252116626
oct50552106064
915082721567
105463641140
1123540a0501
121085919444
13690c23569
1439b8b0c16
1521e9db97a
hex145a88c34

5463641140 has 72 divisors (see below), whose sum is σ = 12405326472. Its totient is φ = 2019824640.

The previous prime is 5463641123. The next prime is 5463641177. The reversal of 5463641140 is 411463645.

It can be written as a sum of positive squares in 4 ways, for example, as 146023056 + 5317618084 = 12084^2 + 72922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5463641096 and 5463641105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286792 + ... + 305248.

It is an arithmetic number, because the mean of its divisors is an integer number (172296201).

Almost surely, 25463641140 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 5463641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202663236).

5463641140 is an abundant number, since it is smaller than the sum of its proper divisors (6941685332).

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

5463641140 is a wasteful number, since it uses less digits than its factorization.

5463641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 5463641140 is about 73916.4470195910. The cubic root of 5463641140 is about 1761.2758848469.

The spelling of 5463641140 in words is "five billion, four hundred sixty-three million, six hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 361 380 410 722 779 820 1444 1558 1805 3116 3610 3895 7220 7790 14801 15580 18457 29602 36914 59204 73828 74005 92285 148010 184570 296020 350683 369140 701366 756737 1402732 1513474 1753415 3026948 3506830 3783685 6662977 7013660 7567370 13325954 14378003 15134740 26651908 28756006 33314885 57512012 66629770 71890015 133259540 143780030 273182057 287560060 546364114 1092728228 1365910285 2731820570 5463641140