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13763875137631 is a prime number
BaseRepresentation
bin1100100001001010011011…
…1000110110100001011111
31210201210222010100010020121
43020102212320312201133
53301001404013401011
645135011551455411
72620256441214103
oct310224670664137
953653863303217
1013763875137631
114427254767733
121663645b27567
1378ac0a666a88
1435826470d903
1518d06b2a0e71
hexc84a6e3685f

13763875137631 has 2 divisors, whose sum is σ = 13763875137632. Its totient is φ = 13763875137630.

The previous prime is 13763875137517. The next prime is 13763875137659. The reversal of 13763875137631 is 13673157836731.

13763875137631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13763875137631 - 27 = 13763875137503 is a prime.

It is a super-2 number, since 2×137638751376312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13763875137631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13763875137431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6881937568815 + 6881937568816.

It is an arithmetic number, because the mean of its divisors is an integer number (6881937568816).

Almost surely, 213763875137631 is an apocalyptic number.

13763875137631 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763875137631 is an equidigital number, since it uses as much as digits as its factorization.

13763875137631 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40007520, while the sum is 61.

The spelling of 13763875137631 in words is "thirteen trillion, seven hundred sixty-three billion, eight hundred seventy-five million, one hundred thirty-seven thousand, six hundred thirty-one".