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5036976401 is a prime number
BaseRepresentation
bin1001011000011101…
…00010100100010001
3111000000221220122112
410230032202210101
540303431221101
62151451515105
7235551410252
oct45416424421
914000856575
105036976401
112155272a16
12b86a58a95
13623707112
1435ad68b29
151e730c6bb
hex12c3a2911

5036976401 has 2 divisors, whose sum is σ = 5036976402. Its totient is φ = 5036976400.

The previous prime is 5036976391. The next prime is 5036976409. The reversal of 5036976401 is 1046796305.

5036976401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2524962001 + 2512014400 = 50249^2 + 50120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5036976401 is a prime.

It is a super-3 number, since 3×50369764013 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (5036976409) 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 as a sum of consecutive naturals, namely, 2518488200 + 2518488201.

It is an arithmetic number, because the mean of its divisors is an integer number (2518488201).

Almost surely, 25036976401 is an apocalyptic number.

It is an amenable number.

5036976401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5036976401 is an equidigital number, since it uses as much as digits as its factorization.

5036976401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 5036976401 is about 70971.6591394058. The cubic root of 5036976401 is about 1714.1808485929.

The spelling of 5036976401 in words is "five billion, thirty-six million, nine hundred seventy-six thousand, four hundred one".