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5167557641 is a prime number
BaseRepresentation
bin1001101000000001…
…01010110000001001
3111100010200010102202
410310000222300021
541040343321031
62212434405545
7242025341501
oct46400526011
914303603382
105167557641
112211a515a4
1210027308b5
1364479731c
1437043aa01
15203a032cb
hex13402ac09

5167557641 has 2 divisors, whose sum is σ = 5167557642. Its totient is φ = 5167557640.

The previous prime is 5167557607. The next prime is 5167557667. The reversal of 5167557641 is 1467557615.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5040432016 + 127125625 = 70996^2 + 11275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5167557641 is a prime.

It is not a weakly prime, because it can be changed into another prime (5167557601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583778820 + 2583778821.

It is an arithmetic number, because the mean of its divisors is an integer number (2583778821).

Almost surely, 25167557641 is an apocalyptic number.

It is an amenable number.

5167557641 is a deficient number, since it is larger than the sum of its proper divisors (1).

5167557641 is an equidigital number, since it uses as much as digits as its factorization.

5167557641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882000, while the sum is 47.

The square root of 5167557641 is about 71885.7262674587. The cubic root of 5167557641 is about 1728.8677636053.

The spelling of 5167557641 in words is "five billion, one hundred sixty-seven million, five hundred fifty-seven thousand, six hundred forty-one".