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13740497641 = 131378176697
BaseRepresentation
bin11001100101111111…
…10101101011101001
31022110121011121021001
430302333311223221
5211120031411031
610151242315001
7664334205613
oct146277655351
938417147231
1013740497641
115911175282
1227b57b8a61
1313ac9202a0
14944c45db3
15556473861
hex332ff5ae9

13740497641 has 8 divisors (see below), whose sum is σ = 14798725704. Its totient is φ = 12682450560.

The previous prime is 13740497609. The next prime is 13740497681. The reversal of 13740497641 is 14679404731.

It can be written as a sum of positive squares in 4 ways, for example, as 242705241 + 13497792400 = 15579^2 + 116180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13740497641 - 25 = 13740497609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13740497591 and 13740497600.

It is not an unprimeable number, because it can be changed into a prime (13740497681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140805 + ... + 217501.

It is an arithmetic number, because the mean of its divisors is an integer number (1849840713).

Almost surely, 213740497641 is an apocalyptic number.

It is an amenable number.

13740497641 is a deficient number, since it is larger than the sum of its proper divisors (1058228063).

13740497641 is a wasteful number, since it uses less digits than its factorization.

13740497641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90491.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 13740497641 in words is "thirteen billion, seven hundred forty million, four hundred ninety-seven thousand, six hundred forty-one".

Divisors: 1 13 13781 76697 179153 997061 1056961357 13740497641