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5306976801 = 327234692
BaseRepresentation
bin1001111000101001…
…00000101000100001
3111200212000100120100
410330110200220201
541332041224201
62234334533013
7245340362400
oct47424405041
914625010510
105306976801
112283717245
121041367169
13667630179
14384b6d637
15210d92886
hex13c520a21

5306976801 has 27 divisors (see below), whose sum is σ = 8919736371. Its totient is φ = 3031683984.

The previous prime is 5306976799. The next prime is 5306976827. The reversal of 5306976801 is 1086796035.

It is a happy number.

The square root of 5306976801 is 72849.

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., 148864401 + 5158112400 = 12201^2 + 71820^2 .

It is not a de Polignac number, because 5306976801 - 21 = 5306976799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5306975801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1528095 + ... + 1531563.

Almost surely, 25306976801 is an apocalyptic number.

5306976801 is the 72849-th square number.

5306976801 is the 36425-th centered octagonal number.

It is an amenable number.

5306976801 is a deficient number, since it is larger than the sum of its proper divisors (3612759570).

5306976801 is an frugal number, since it uses more digits than its factorization.

5306976801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 5306976801 is about 1744.2781064478.

The spelling of 5306976801 in words is "five billion, three hundred six million, nine hundred seventy-six thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 3469 10407 24283 31221 72849 169981 218547 509943 1529829 12033961 36101883 84237727 108305649 252713181 589664089 758139543 1768992267 5306976801