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5676519760 = 245106166877
BaseRepresentation
bin1010100100101100…
…01101000101010000
3112122121101002012121
411102112031011100
543111142113020
62335135304024
7260445423202
oct52226150520
915577332177
105676519760
11245327a34a
12112507b014
136c6069742
143bbc86772
1523353bbaa
hex15258d150

5676519760 has 40 divisors (see below), whose sum is σ = 13210545096. Its totient is φ = 2268433920.

The previous prime is 5676519757. The next prime is 5676519763. The reversal of 5676519760 is 679156765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5676519757) and next prime (5676519763).

It can be written as a sum of positive squares in 4 ways, for example, as 29899024 + 5646620736 = 5468^2 + 75144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5676519698 and 5676519707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676519763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51442 + ... + 118318.

Almost surely, 25676519760 is an apocalyptic number.

It is an amenable number.

5676519760 is an abundant number, since it is smaller than the sum of its proper divisors (7534025336).

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

5676519760 is a wasteful number, since it uses less digits than its factorization.

5676519760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67951 (or 67945 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The square root of 5676519760 is about 75342.6821927651. The cubic root of 5676519760 is about 1783.8597974773.

The spelling of 5676519760 in words is "five billion, six hundred seventy-six million, five hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1061 2122 4244 5305 8488 10610 16976 21220 42440 66877 84880 133754 267508 334385 535016 668770 1070032 1337540 2675080 5350160 70956497 141912994 283825988 354782485 567651976 709564970 1135303952 1419129940 2838259880 5676519760