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5541611364 = 22321926532
BaseRepresentation
bin1010010100100111…
…00100011101100100
3112022012112000200100
411022103210131210
542322123030424
62313515544100
7254216630232
oct51223443544
915265460610
105541611364
112394105703
1210a7a5b030
136a4122aa3
143a7da9952
1522678ddc9
hex14a4e4764

5541611364 has 81 divisors (see below), whose sum is σ = 14806701273. Its totient is φ = 1747302624.

The previous prime is 5541611359. The next prime is 5541611401. The reversal of 5541611364 is 4631161455.

The square root of 5541611364 is 74442.

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

5541611364 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 611 + 36 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1289528100 + 4252083264 = 35910^2 + 65208^2 .

It is a super-2 number, since 2×55416113642 = 61418913019227880992, which contains 22 as substring.

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, 8486062 + ... + 8486714.

Almost surely, 25541611364 is an apocalyptic number.

5541611364 is the 74442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5541611364

5541611364 is an abundant number, since it is smaller than the sum of its proper divisors (9265089909).

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

5541611364 is a wasteful number, since it uses less digits than its factorization.

5541611364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 5541611364 is about 1769.6145823650.

Multiplying 5541611364 by its sum of digits (36), we get a square (199498009104 = 4466522).

5541611364 divided by its sum of digits (36) gives a square (153933649 = 124072).

The spelling of 5541611364 in words is "five billion, five hundred forty-one million, six hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 653 684 722 1083 1306 1444 1959 2166 2612 3249 3918 4332 5877 6498 7836 11754 12407 12996 23508 24814 37221 49628 74442 111663 148884 223326 235733 426409 446652 471466 707199 852818 942932 1279227 1414398 1705636 2121597 2558454 2828796 3837681 4243194 5116908 7675362 8101771 8486388 15350724 16203542 24305313 32407084 48610626 72915939 97221252 145831878 153933649 291663756 307867298 461800947 615734596 923601894 1385402841 1847203788 2770805682 5541611364