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3679669763 = 7114110511109
BaseRepresentation
bin1101101101010011…
…0100111000000011
3100111102221120222022
43123110310320003
530013443413023
61405044032055
7160120451120
oct33324647003
910442846868
103679669763
1116190943a0
1286839262b
134684560b3
1426c9ab747
1516809c7c8
hexdb534e03

3679669763 has 32 divisors (see below), whose sum is σ = 4708247040. Its totient is φ = 2792160000.

The previous prime is 3679669739. The next prime is 3679669781.

3679669763 is nontrivially palindromic in base 10.

3679669763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3679669763 - 214 = 3679653379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3679669696 and 3679669705.

It is not an unprimeable number, because it can be changed into a prime (3679669733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317453 + ... + 3318561.

It is an arithmetic number, because the mean of its divisors is an integer number (147132720).

Almost surely, 23679669763 is an apocalyptic number.

3679669763 is a deficient number, since it is larger than the sum of its proper divisors (1028577277).

3679669763 is a wasteful number, since it uses less digits than its factorization.

3679669763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219.

The product of its digits is 46294416, while the sum is 62.

The square root of 3679669763 is about 60660.2815934776. The cubic root of 3679669763 is about 1543.8423425058.

The spelling of 3679669763 in words is "three billion, six hundred seventy-nine million, six hundred sixty-nine thousand, seven hundred sixty-three".

Divisors: 1 7 11 41 77 287 451 1051 1109 3157 7357 7763 11561 12199 43091 45469 80927 85393 301637 318283 474001 500159 1165559 3318007 3501113 8158913 12821149 47787919 89748043 334515433 525667109 3679669763