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13734433636 = 22721127612
BaseRepresentation
bin11001100101010001…
…01101001101100100
31022110011202112000021
430302220231031210
5211112003334021
610150504324524
7664231521400
oct146250551544
938404675007
1013734433636
115908803300
1227b3773744
1313ab5a9111
14944108100
15555b76c41
hex332a2d364

13734433636 has 81 divisors (see below), whose sum is σ = 30772651161. Its totient is φ = 5344046400.

The previous prime is 13734433607. The next prime is 13734433639. The reversal of 13734433636 is 63633443731.

The square root of 13734433636 is 117194.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36072036 + 13698361600 = 6006^2 + 117040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13734433592 and 13734433601.

It is not an unprimeable number, because it can be changed into a prime (13734433639) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18047496 + ... + 18048256.

Almost surely, 213734433636 is an apocalyptic number.

13734433636 is the 117194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13734433636

13734433636 is an abundant number, since it is smaller than the sum of its proper divisors (17038217525).

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

13734433636 is an equidigital number, since it uses as much as digits as its factorization.

13734433636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its digits is 979776, while the sum is 43.

The spelling of 13734433636 in words is "thirteen billion, seven hundred thirty-four million, four hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 761 847 1078 1522 1694 2156 3044 3388 5327 5929 8371 10654 11858 16742 21308 23716 33484 37289 58597 74578 92081 117194 149156 184162 234388 368324 410179 579121 644567 820358 1158242 1289134 1640716 2316484 2578268 4053847 4511969 6370331 8107694 9023938 12740662 16215388 18047876 25481324 28376929 44592317 56753858 70073641 89184634 113507716 140147282 178369268 280294564 312146219 490515487 624292438 981030974 1248584876 1962061948 3433608409 6867216818 13734433636