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5256646401 = 329271322271
BaseRepresentation
bin1001110010101001…
…00000111100000001
3111120100022022020110
410321110200330001
541231200141101
62225340101533
7244156520466
oct47124407401
914510268213
105256646401
112258270276
1210285348a9
1365a08a576
1437c1cb66d
1520b74ecd6
hex139520f01

5256646401 has 16 divisors (see below), whose sum is σ = 7253544960. Its totient is φ = 3382189440.

The previous prime is 5256646393. The next prime is 5256646411. The reversal of 5256646401 is 1046466525.

It is not a de Polignac number, because 5256646401 - 23 = 5256646393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5256646401.

It is not an unprimeable number, because it can be changed into a prime (5256646411) 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 15 ways as a sum of consecutive naturals, for example, 224896 + ... + 247166.

It is an arithmetic number, because the mean of its divisors is an integer number (453346560).

Almost surely, 25256646401 is an apocalyptic number.

It is an amenable number.

5256646401 is a deficient number, since it is larger than the sum of its proper divisors (1996898559).

5256646401 is a wasteful number, since it uses less digits than its factorization.

5256646401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016.

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 5256646401 is about 72502.7337484594. The cubic root of 5256646401 is about 1738.7464438550.

The spelling of 5256646401 in words is "five billion, two hundred fifty-six million, six hundred forty-six thousand, four hundred one".

Divisors: 1 3 29 87 2713 8139 22271 66813 78677 236031 645859 1937577 60421223 181263669 1752215467 5256646401