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13774380012 = 2232596485113
BaseRepresentation
bin11001101010000010…
…00101101111101100
31022112221221000010200
430311001011233230
5211202220130022
610154452433500
7665225204211
oct146501055754
938487830120
1013774380012
115929307638
122805018890
1313b6954423
14949545b08
15559417bac
hex335045bec

13774380012 has 36 divisors (see below), whose sum is σ = 35408722440. Its totient is φ = 4513637952.

The previous prime is 13774379989. The next prime is 13774380089. The reversal of 13774380012 is 21008347731.

13774380012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3240433 + ... + 3244680.

Almost surely, 213774380012 is an apocalyptic number.

13774380012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13774380012 is an abundant number, since it is smaller than the sum of its proper divisors (21634342428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13774380012 is a wasteful number, since it uses less digits than its factorization.

13774380012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485182 (or 6485177 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13774380012 in words is "thirteen billion, seven hundred seventy-four million, three hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 6485113 12970226 19455339 25940452 38910678 58366017 77821356 116732034 233464068 382621667 765243334 1147865001 1530486668 2295730002 3443595003 4591460004 6887190006 13774380012