Search a number
-
+
764075507221 = 132341174735677
BaseRepresentation
bin10110001111001100111…
…00101111111000010101
32201001012201212102101001
423013212130233320111
5100004311312212341
61343002245503301
7106126334436325
oct13074634577025
92631181772331
10764075507221
11275051782644
121040bb411b31
135708a364c60
1428da5165285
1514d1e4e7d31
hexb1e672fe15

764075507221 has 32 divisors (see below), whose sum is σ = 880096912128. Its totient is φ = 657785525760.

The previous prime is 764075507219. The next prime is 764075507227. The reversal of 764075507221 is 122705570467.

It is a cyclic number.

It is not a de Polignac number, because 764075507221 - 21 = 764075507219 is a prime.

It is a super-2 number, since 2×7640755072212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764075507227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21398635 + ... + 21434311.

It is an arithmetic number, because the mean of its divisors is an integer number (27503028504).

Almost surely, 2764075507221 is an apocalyptic number.

It is an amenable number.

764075507221 is a deficient number, since it is larger than the sum of its proper divisors (116021404907).

764075507221 is a wasteful number, since it uses less digits than its factorization.

764075507221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37501.

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 764075507221 in words is "seven hundred sixty-four billion, seventy-five million, five hundred seven thousand, two hundred twenty-one".

Divisors: 1 13 23 41 299 533 943 1747 12259 22711 35677 40181 71627 463801 522353 820571 931151 1462757 1647421 10667423 19015841 21416473 33643411 62327719 437364343 810260347 1433537537 2555436479 18635987981 33220674227 58775039017 764075507221