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46574387721 = 3679932
BaseRepresentation
bin101011011000000011…
…001100001000001001
311110012211221001000000
4223120003030020021
51230341020401341
633221310433213
73236104522641
oct533003141011
9143184831000
1046574387721
1118830033924
129039802809
13451314a104
14237b7b7521
151328c7d8b6
hexad80cc209

46574387721 has 21 divisors (see below), whose sum is σ = 69838374999. Its totient is φ = 31045707216.

The previous prime is 46574387681. The next prime is 46574387737. The reversal of 46574387721 is 12778347564.

The square root of 46574387721 is 215811.

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

46574387721 is a `hidden beast` number, since 46 + 574 + 3 + 8 + 7 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4112015625 + 42462372096 = 64125^2 + 206064^2 .

It is not a de Polignac number, because 46574387721 - 217 = 46574256649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46574387791) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 5822901 + ... + 5830893.

Almost surely, 246574387721 is an apocalyptic number.

46574387721 is the 215811-st square number.

46574387721 is the 107906-th centered octagonal number.

It is an amenable number.

46574387721 is a deficient number, since it is larger than the sum of its proper divisors (23263987278).

46574387721 is an frugal number, since it uses more digits than its factorization.

46574387721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 7996 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 46574387721 in words is "forty-six billion, five hundred seventy-four million, three hundred eighty-seven thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 7993 23979 71937 215811 647433 1942299 5826897 63888049 191664147 574992441 1724977323 5174931969 15524795907 46574387721