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13813367148127 = 120371625370607
BaseRepresentation
bin1100100100000010110011…
…0101111000111001011111
31210220112201022021202021101
43021000230311320321133
53302304233442220002
645213435005213531
72623661054315641
oct311005465707137
953815638252241
1013813367148127
114446241706748
1216711588612a7
137927970b4ca1
1435a7db7a8891
1518e4b6250587
hexc902cd78e5f

13813367148127 has 8 divisors (see below), whose sum is σ = 13815560356416. Its totient is φ = 13811174137632.

The previous prime is 13813367148071. The next prime is 13813367148143. The reversal of 13813367148127 is 72184176331831.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13813367148127 - 27 = 13813367147999 is a prime.

It is a super-2 number, since 2×138133671481272 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813367148197) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 195602058 + ... + 195672664.

It is an arithmetic number, because the mean of its divisors is an integer number (1726945044552).

Almost surely, 213813367148127 is an apocalyptic number.

13813367148127 is a deficient number, since it is larger than the sum of its proper divisors (2193208289).

13813367148127 is a wasteful number, since it uses less digits than its factorization.

13813367148127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98897.

The product of its digits is 4064256, while the sum is 55.

The spelling of 13813367148127 in words is "thirteen trillion, eight hundred thirteen billion, three hundred sixty-seven million, one hundred forty-eight thousand, one hundred twenty-seven".

Divisors: 1 12037 16253 70607 195637361 849896459 1147575571 13813367148127