Search a number
-
+
7689886864 = 2411219932
BaseRepresentation
bin1110010100101101…
…00101110010010000
3201211220212201122121
413022112211302100
5111222102334424
63311020544024
7361363650142
oct71226456220
921756781577
107689886864
113296816900
1215a73b2014
1395721411a
1452d420c92
1530018eee4
hex1ca5a5c90

7689886864 has 45 divisors (see below), whose sum is σ = 16384979289. Its totient is φ = 3493649280.

The previous prime is 7689886843. The next prime is 7689886921. The reversal of 7689886864 is 4686889867.

The square root of 7689886864 is 87692.

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., 5628000400 + 2061886464 = 75020^2 + 45408^2 .

It is a super-2 number, since 2×76898868642 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7689886793 and 7689886802.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3857452 + ... + 3859444.

Almost surely, 27689886864 is an apocalyptic number.

7689886864 is the 87692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7689886864

7689886864 is an abundant number, since it is smaller than the sum of its proper divisors (8695092425).

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

7689886864 is an equidigital number, since it uses as much as digits as its factorization.

7689886864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 2006 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 70.

The cubic root of 7689886864 is about 1973.8159319518.

The spelling of 7689886864 in words is "seven billion, six hundred eighty-nine million, eight hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 1993 3986 7972 15944 21923 31888 43846 87692 175384 241153 350768 482306 964612 1929224 3858448 3972049 7944098 15888196 31776392 43692539 63552784 87385078 174770156 349540312 480617929 699080624 961235858 1922471716 3844943432 7689886864