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13952992292694 = 2337132839436771
BaseRepresentation
bin1100101100001010111100…
…1001100010111101010110
31211101220010000122000001000
43023002233021202331112
53312101212011331234
645401525520444130
72640033104420160
oct313025711427526
954356100560030
1013952992292694
11449a481439404
121694224a79646
137a29b90ca620
143634852d9930
15192e390c8899
hexcb0af262f56

13952992292694 has 64 divisors (see below), whose sum is σ = 38162030215680. Its totient is φ = 3679910053920.

The previous prime is 13952992292623. The next prime is 13952992292731. The reversal of 13952992292694 is 49629229925931.

13952992292694 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 299 + 229 + 26 + 94 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1419713472 + ... + 1419723299.

It is an arithmetic number, because the mean of its divisors is an integer number (596281722120).

Almost surely, 213952992292694 is an apocalyptic number.

13952992292694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13952992292694 is an abundant number, since it is smaller than the sum of its proper divisors (24209037922986).

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

13952992292694 is a wasteful number, since it uses less digits than its factorization.

13952992292694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839436802 (or 2839436796 counting only the distinct ones).

The product of its digits is 340122240, while the sum is 72.

The spelling of 13952992292694 in words is "thirteen trillion, nine hundred fifty-two billion, nine hundred ninety-two million, two hundred ninety-two thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 2839436771 5678873542 8518310313 17036620626 19876057397 25554930939 36912678023 39752114794 51109861878 59628172191 73825356046 76664792817 110738034069 119256344382 153329585634 178884516573 221476068138 258388746161 332214102207 357769033146 516777492322 536653549719 664428204414 775166238483 996642306621 1073307099438 1550332476966 1993284613242 2325498715449 4650997430898 6976496146347 13952992292694