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768065279821 = 7229540510401
BaseRepresentation
bin10110010110101000100…
…00100001011101001101
32201102111210022212110121
423023110100201131031
5100040444202423241
61344502212304541
7106330242105400
oct13132420413515
92642453285417
10768065279821
11276809910874
12104a33612151
1357574b15448
1429262db5d37
1514ea48ecad1
hexb2d442174d

768065279821 has 12 divisors (see below), whose sum is σ = 924272787420. Its totient is φ = 635640230400.

The previous prime is 768065279801. The next prime is 768065279827. The reversal of 768065279821 is 128972560867.

It can be written as a sum of positive squares in 2 ways, for example, as 457577838025 + 310487441796 = 676445^2 + 557214^2 .

It is not a de Polignac number, because 768065279821 - 223 = 768056891213 is a prime.

It is a super-2 number, since 2×7680652798212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 768065279821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768065279827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270253780 + ... + 270256621.

It is an arithmetic number, because the mean of its divisors is an integer number (77022732285).

Almost surely, 2768065279821 is an apocalyptic number.

It is an amenable number.

768065279821 is a deficient number, since it is larger than the sum of its proper divisors (156207507599).

768065279821 is a wasteful number, since it uses less digits than its factorization.

768065279821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540510444 (or 540510437 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 768065279821 in words is "seven hundred sixty-eight billion, sixty-five million, two hundred seventy-nine thousand, eight hundred twenty-one".

Divisors: 1 7 29 49 203 1421 540510401 3783572807 15674801629 26485009649 109723611403 768065279821