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742258063937 = 13295749342469
BaseRepresentation
bin10101100110100100000…
…01110011101001000001
32121221220020111110122002
422303102001303221001
544130121031021222
61324553314153345
7104424563305055
oct12632201635101
92557806443562
10742258063937
11266876365585
12bba30882855
1354cc12a07c0
1427cd5745c65
1514493e2a392
hexacd2073a41

742258063937 has 16 divisors (see below), whose sum is σ = 827065050000. Its totient is φ = 661418037504.

The previous prime is 742258063931. The next prime is 742258063993. The reversal of 742258063937 is 739360852247.

It is a Cunningham number, because it is equal to 8615442+1.

It can be written as a sum of positive squares in 8 ways, for example, as 257885214976 + 484372848961 = 507824^2 + 695969^2 .

It is a cyclic number.

It is not a de Polignac number, because 742258063937 - 222 = 742253869633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742258063931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996139 + ... + 2338607.

It is an arithmetic number, because the mean of its divisors is an integer number (51691565625).

Almost surely, 2742258063937 is an apocalyptic number.

It is an amenable number.

742258063937 is a deficient number, since it is larger than the sum of its proper divisors (84806986063).

742258063937 is a wasteful number, since it uses less digits than its factorization.

742258063937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348260.

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 742258063937 in words is "seven hundred forty-two billion, two hundred fifty-eight million, sixty-three thousand, nine hundred thirty-seven".

Divisors: 1 13 29 377 5749 74737 166721 342469 2167373 4452097 9931601 129110813 1968854281 25595105653 57096774149 742258063937