Search a number
-
+
13936636656 = 2433103313211
BaseRepresentation
bin11001111101011000…
…00011001011110000
31022222021020111102000
430332230003023300
5212020234333111
610222530254000
71002235312515
oct147654031360
938867214360
1013936636656
115a01960438
12284b427300
131411455087
14962d0130c
155687b8c56
hex33eb032f0

13936636656 has 80 divisors (see below), whose sum is σ = 40391819520. Its totient is φ = 4600428480.

The previous prime is 13936636639. The next prime is 13936636673. The reversal of 13936636656 is 65663663931.

13936636656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13936636639) and next prime (13936636673).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 112110 + ... + 201101.

It is an arithmetic number, because the mean of its divisors is an integer number (504897744).

Almost surely, 213936636656 is an apocalyptic number.

13936636656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13936636656 is an abundant number, since it is smaller than the sum of its proper divisors (26455182864).

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

13936636656 is a wasteful number, since it uses less digits than its factorization.

13936636656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313331 (or 313319 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The spelling of 13936636656 in words is "thirteen billion, nine hundred thirty-six million, six hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 313211 626422 939633 1252844 1879266 2505688 2818899 3758532 5011376 5637798 7517064 8456697 11275596 15034128 16913394 22551192 32260733 33826788 45102384 64521466 67653576 96782199 129042932 135307152 193564398 258085864 290346597 387128796 516171728 580693194 774257592 871039791 1161386388 1548515184 1742079582 2322772776 3484159164 4645545552 6968318328 13936636656