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3728689969 = 22722692
BaseRepresentation
bin1101111000111111…
…0100101100110001
3100121212012002001111
43132033310230301
530114021034334
61413554433321
7161254225144
oct33617645461
910555162044
103728689969
111643825a64
12880892841
1347565a534
142752cc05b
1516c532064
hexde3f4b31

3728689969 has 9 divisors (see below), whose sum is σ = 3759162667. Its totient is φ = 3698463784.

The previous prime is 3728689931. The next prime is 3728689997. The reversal of 3728689969 is 9699868273.

The square root of 3728689969 is 61063.

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

It can be written as a sum of positive squares in only one way, i.e., 245329569 + 3483360400 = 15663^2 + 59020^2 .

It is not a de Polignac number, because 3728689969 - 27 = 3728689841 is a prime.

It is a super-2 number, since 2×37286899692 = 27806257769842441922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3728689369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13861167 + ... + 13861435.

Almost surely, 23728689969 is an apocalyptic number.

3728689969 is the 61063-rd square number.

3728689969 is the 30532-nd centered octagonal number.

It is an amenable number.

3728689969 is a deficient number, since it is larger than the sum of its proper divisors (30472698).

3728689969 is an frugal number, since it uses more digits than its factorization.

3728689969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

The cubic root of 3728689969 is about 1550.6677620865.

The spelling of 3728689969 in words is "three billion, seven hundred twenty-eight million, six hundred eighty-nine thousand, nine hundred sixty-nine".

Divisors: 1 227 269 51529 61063 72361 13861301 16425947 3728689969