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13926023967744 = 2103672665027
BaseRepresentation
bin1100101010100110011110…
…1101100011010000000000
31211022022111112222011000000
43022221213231203100000
53311130444113431434
645341305504000000
72635056566430120
oct312514755432000
954268445864000
1013926023967744
114489aa252a749
12168ab59300000
137a02abb5a2b5
14362047780c80
151923ab6edb99
hexcaa67b63400

13926023967744 has 308 divisors, whose sum is σ = 47701250891104. Its totient is φ = 3978862497792.

The previous prime is 13926023967733. The next prime is 13926023967763. The reversal of 13926023967744 is 44776932062931.

It is a happy number.

13926023967744 is a `hidden beast` number, since 1 + 39 + 260 + 239 + 6 + 77 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3892959 + ... + 6557985.

Almost surely, 213926023967744 is an apocalyptic number.

13926023967744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13926023967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850625445552).

13926023967744 is an abundant number, since it is smaller than the sum of its proper divisors (33775226923360).

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

13926023967744 is an frugal number, since it uses more digits than its factorization.

13926023967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665072 (or 2665039 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 13926023967744 in words is "thirteen trillion, nine hundred twenty-six billion, twenty-three million, nine hundred sixty-seven thousand, seven hundred forty-four".