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13734542322 = 23223212012
BaseRepresentation
bin11001100101010010…
…00111101111110010
31022110011222001002200
430302221013233302
5211112020323242
610150510524030
7664232453304
oct146251075762
938404861080
1013734542322
115908877a26
1227b3806616
1313ab616727
14944135974
15555b9904c
hex332a47bf2

13734542322 has 54 divisors (see below), whose sum is σ = 31134185901. Its totient is φ = 4375483200.

The previous prime is 13734542321. The next prime is 13734542359. The reversal of 13734542322 is 22324543731.

13734542322 is a `hidden beast` number, since 1 + 373 + 4 + 54 + 232 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7427164761 + 6307377561 = 86181^2 + 79419^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=82869.

It is not an unprimeable number, because it can be changed into a prime (13734542321) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11435322 + ... + 11436522.

Almost surely, 213734542322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13734542322

13734542322 is an abundant number, since it is smaller than the sum of its proper divisors (17399643579).

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

13734542322 is an equidigital number, since it uses as much as digits as its factorization.

13734542322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 1229 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The spelling of 13734542322 in words is "thirteen billion, seven hundred thirty-four million, five hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1201 1587 2402 3174 3603 4761 7206 9522 10809 21618 27623 55246 82869 165738 248607 497214 635329 1270658 1442401 1905987 2884802 3811974 4327203 5717961 8654406 11435922 12981609 25963218 33175223 66350446 99525669 199051338 298577007 597154014 763030129 1526060258 2289090387 4578180774 6867271161 13734542322