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13987966978931 = 1116312916042937
BaseRepresentation
bin1100101110001101001111…
…0011011000101101110011
31211112020101110200011000112
43023203103303120231303
53313134324021311211
645425552221411535
72642411601353351
oct313432363305563
954466343604015
1013987966978931
11450329976a880
12169ab65a09bab
137a60a0cca33a
143650422d67d1
15193cd480888b
hexcb8d3cd8b73

13987966978931 has 16 divisors (see below), whose sum is σ = 15365112563328. Its totient is φ = 12628527652800.

The previous prime is 13987966978913. The next prime is 13987966978963.

13987966978931 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13987966978931 is a prime.

It is a super-2 number, since 2×139879669789312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13987966978991) 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, 706706 + ... + 5336231.

It is an arithmetic number, because the mean of its divisors is an integer number (960319535208).

Almost surely, 213987966978931 is an apocalyptic number.

13987966978931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13987966978931 is a deficient number, since it is larger than the sum of its proper divisors (1377145584397).

13987966978931 is a wasteful number, since it uses less digits than its factorization.

13987966978931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044402.

The product of its digits is 6666395904, while the sum is 86.

The spelling of 13987966978931 in words is "thirteen trillion, nine hundred eighty-seven billion, nine hundred sixty-six million, nine hundred seventy-eight thousand, nine hundred thirty-one".

Divisors: 1 11 163 1291 1793 14201 210433 2314763 6042937 66472307 984998731 7801431667 10834986041 85815748337 1271633361721 13987966978931