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536417677105 = 52811846120681
BaseRepresentation
bin1111100111001001111…
…11000010111100110001
31220021120212111101120021
413303210333002330301
532242040411131410
61050232112243441
753516634011152
oct7634477027461
91807525441507
10536417677105
11197547881302
1287b65240581
133b778c9c23b
141bd69b23929
15de47d9aeda
hex7ce4fc2f31

536417677105 has 16 divisors (see below), whose sum is σ = 646058194128. Its totient is φ = 427563136000.

The previous prime is 536417677073. The next prime is 536417677189. The reversal of 536417677105 is 501776714635.

It can be written as a sum of positive squares in 8 ways, for example, as 125105812209 + 411311864896 = 353703^2 + 641336^2 .

It is not a de Polignac number, because 536417677105 - 25 = 536417677073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25927365 + ... + 25948045.

It is an arithmetic number, because the mean of its divisors is an integer number (40378637133).

Almost surely, 2536417677105 is an apocalyptic number.

It is an amenable number.

536417677105 is a deficient number, since it is larger than the sum of its proper divisors (109640517023).

536417677105 is a wasteful number, since it uses less digits than its factorization.

536417677105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39428.

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 536417677105 in words is "five hundred thirty-six billion, four hundred seventeen million, six hundred seventy-seven thousand, one hundred five".

Divisors: 1 5 281 1405 18461 20681 92305 103405 5187541 5811361 25937705 29056805 381791941 1908959705 107283535421 536417677105