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13791683844 = 2232234372
BaseRepresentation
bin11001101100000110…
…00110010100000100
31022121011111010112100
430312003012110010
5211221132340334
610200311352100
7665525243541
oct146603062404
938534433470
1013791683844
115938056224
12280a982630
1313ba402593
1494b96bbc8
1555abd4c99
hex3360c6504

13791683844 has 135 divisors (see below), whose sum is σ = 37458632757. Its totient is φ = 4278501216.

The previous prime is 13791683839. The next prime is 13791683849. The reversal of 13791683844 is 44838619731.

The square root of 13791683844 is 117438.

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

It is an interprime number because it is at equal distance from previous prime (13791683839) and next prime (13791683849).

It can be written as a sum of positive squares in only one way, i.e., 12340988100 + 1450695744 = 111090^2 + 38088^2 .

It is not an unprimeable number, because it can be changed into a prime (13791683849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 372748194 + ... + 372748230.

Almost surely, 213791683844 is an apocalyptic number.

13791683844 is the 117438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13791683844

13791683844 is an abundant number, since it is smaller than the sum of its proper divisors (23666948913).

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

13791683844 is an frugal number, since it uses more digits than its factorization.

13791683844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 65 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13791683844 in words is "thirteen billion, seven hundred ninety-one million, six hundred eighty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 333 414 444 529 666 828 851 1058 1332 1369 1587 1702 2116 2553 2738 3174 3404 4107 4761 5106 5476 6348 7659 8214 9522 10212 12167 12321 15318 16428 19044 19573 24334 24642 30636 31487 36501 39146 48668 49284 58719 62974 73002 78292 94461 109503 117438 125948 146004 176157 188922 219006 234876 279841 283383 352314 377844 438012 450179 559682 566766 704628 724201 839523 900358 1119364 1133532 1350537 1448402 1679046 1800716 2172603 2518569 2701074 2896804 3358092 4051611 4345206 5037138 5402148 6517809 8103222 8690412 10074276 10354117 13035618 16206444 16656623 20708234 26071236 31062351 33313246 41416468 49969869 62124702 66626492 93187053 99939738 124249404 149909607 186374106 199879476 299819214 372748212 383102329 599638428 766204658 1149306987 1532409316 2298613974 3447920961 4597227948 6895841922 13791683844