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61306750404 = 223229214232
BaseRepresentation
bin111001000110001010…
…101100010111000100
312212020120110121022100
4321012022230113010
52001024012003104
644055224232100
74300144531434
oct710612542704
9185216417270
1061306750404
1124000075a79
12ba6b60b630
135a203b9893
142d782502c4
1518dc328139
hexe462ac5c4

61306750404 has 81 divisors (see below), whose sum is σ = 160610765133. Its totient is φ = 19717042464.

The previous prime is 61306750381. The next prime is 61306750411. The reversal of 61306750404 is 40405760316.

It is a happy number.

The square root of 61306750404 is 247602.

It is a perfect power (a square), and thus also a powerful number.

61306750404 is a `hidden beast` number, since 61 + 30 + 67 + 504 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32147772804 + 29158977600 = 179298^2 + 170760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43082037 + ... + 43083459.

Almost surely, 261306750404 is an apocalyptic number.

61306750404 is the 247602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61306750404

61306750404 is an abundant number, since it is smaller than the sum of its proper divisors (99304014729).

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

61306750404 is a wasteful number, since it uses less digits than its factorization.

61306750404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 61306750404 by its sum of digits (36), we get a square (2207043014544 = 14856122).

61306750404 divided by its sum of digits (36) gives a square (1702965289 = 412672).

The spelling of 61306750404 in words is "sixty-one billion, three hundred six million, seven hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1423 1682 2523 2846 3364 4269 5046 5692 7569 8538 10092 12807 15138 17076 25614 30276 41267 51228 82534 123801 165068 247602 371403 495204 742806 1196743 1485612 2024929 2393486 3590229 4049858 4786972 6074787 7180458 8099716 10770687 12149574 14360916 18224361 21541374 24299148 36448722 43082748 58722941 72897444 117445882 176168823 234891764 352337646 528506469 704675292 1057012938 1702965289 2114025876 3405930578 5108895867 6811861156 10217791734 15326687601 20435583468 30653375202 61306750404