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3713561721 = 36372612
BaseRepresentation
bin1101110101011000…
…0111010001111001
3100120210201111000000
43131112013101321
530101132433341
61412254303213
7161011516362
oct33526072171
910523644000
103713561721
111636232981
128777b7b09
134724916cc
142732b0b69
1516b0448b6
hexdd587479

3713561721 has 63 divisors (see below), whose sum is σ = 5817690333. Its totient is φ = 2369308320.

The previous prime is 3713561713. The next prime is 3713561741. The reversal of 3713561721 is 1271653173.

The square root of 3713561721 is 60939.

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

3713561721 is a `hidden beast` number, since 3 + 7 + 1 + 35 + 617 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81812025 + 3631749696 = 9045^2 + 60264^2 .

It is not a de Polignac number, because 3713561721 - 23 = 3713561713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3713561711) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 60878031 + ... + 60878091.

It is an arithmetic number, because the mean of its divisors is an integer number (92344291).

Almost surely, 23713561721 is an apocalyptic number.

3713561721 is the 60939-th square number.

3713561721 is the 30470-th centered octagonal number.

It is an amenable number.

3713561721 is a deficient number, since it is larger than the sum of its proper divisors (2104128612).

3713561721 is an frugal number, since it uses more digits than its factorization.

3713561721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The cubic root of 3713561721 is about 1548.5677676645.

Multiplying 3713561721 by its sum of digits (36), we get a square (133688221956 = 3656342).

The spelling of 3713561721 in words is "three billion, seven hundred thirteen million, five hundred sixty-one thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 37 61 81 111 183 243 333 549 729 999 1369 1647 2257 2997 3721 4107 4941 6771 8991 11163 12321 14823 20313 26973 33489 36963 44469 60939 83509 100467 110889 137677 182817 250527 301401 332667 413031 548451 751581 904203 998001 1239093 1645353 2254743 2712609 3717279 5094049 6764229 11151837 15282147 20292687 33455511 45846441 60878061 100366533 137539323 412617969 1237853907 3713561721