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42591053377 = 1729100985621
BaseRepresentation
bin100111101010100111…
…111110011001000001
311001221020120200112101
4213222213332121001
51144211302202002
631322134030401
73035305660165
oct475247763101
9131836520471
1042591053377
11170765a2874
1283077a8401
134029b12242
1420c0760ca5
1511941eb587
hex9ea9fe641

42591053377 has 16 divisors (see below), whose sum is σ = 46698238800. Its totient is φ = 38664622080.

The previous prime is 42591053363. The next prime is 42591053383. The reversal of 42591053377 is 77335019524.

It is a Cunningham number, because it is equal to 2063762+1.

It can be written as a sum of positive squares in 8 ways, for example, as 4209933456 + 38381119921 = 64884^2 + 195911^2 .

It is a cyclic number.

It is not a de Polignac number, because 42591053377 - 227 = 42456835649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42591053317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454627 + ... + 540247.

It is an arithmetic number, because the mean of its divisors is an integer number (2918639925).

Almost surely, 242591053377 is an apocalyptic number.

It is an amenable number.

42591053377 is a deficient number, since it is larger than the sum of its proper divisors (4107185423).

42591053377 is a wasteful number, since it uses less digits than its factorization.

42591053377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86676.

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 42591053377 in words is "forty-two billion, five hundred ninety-one million, fifty-three thousand, three hundred seventy-seven".

Divisors: 1 17 29 493 1009 17153 29261 85621 497437 1455557 2483009 42211153 86391589 1468657013 2505356081 42591053377