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2829527550137 is a prime number
BaseRepresentation
bin101001001011001100111…
…111000000100010111001
3101000111111122021112221202
4221023030333000202321
5332324333023101022
610003511135143545
7411266221225061
oct51131477004271
911014448245852
102829527550137
119a0aa5599a82
1239846b074bb5
13176a91a488b2
149ad425da3a1
154d9086c3592
hex292ccfc08b9

2829527550137 has 2 divisors, whose sum is σ = 2829527550138. Its totient is φ = 2829527550136.

The previous prime is 2829527550007. The next prime is 2829527550163. The reversal of 2829527550137 is 7310557259282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1675914074041 + 1153613476096 = 1294571^2 + 1074064^2 .

It is a cyclic number.

It is not a de Polignac number, because 2829527550137 - 28 = 2829527549881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2829527550337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1414763775068 + 1414763775069.

It is an arithmetic number, because the mean of its divisors is an integer number (1414763775069).

Almost surely, 22829527550137 is an apocalyptic number.

It is an amenable number.

2829527550137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2829527550137 is an equidigital number, since it uses as much as digits as its factorization.

2829527550137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584000, while the sum is 56.

The spelling of 2829527550137 in words is "two trillion, eight hundred twenty-nine billion, five hundred twenty-seven million, five hundred fifty thousand, one hundred thirty-seven".