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13674796812 = 2235197110429
BaseRepresentation
bin11001011110001010…
…01101011100001100
31022022000112122200000
430233011031130030
5211001221444222
610140534204300
7662605566165
oct145705153414
938260478600
1013674796812
115888080276
1227977b3690
13139c128561
1493a22276c
155507e69ac
hex32f14d70c

13674796812 has 144 divisors (see below), whose sum is σ = 38268921600. Its totient is φ = 4257126720.

The previous prime is 13674796801. The next prime is 13674796819. The reversal of 13674796812 is 21869747631.

13674796812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13674796819) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1306014 + ... + 1316442.

It is an arithmetic number, because the mean of its divisors is an integer number (265756400).

Almost surely, 213674796812 is an apocalyptic number.

13674796812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13674796812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134460800).

13674796812 is an abundant number, since it is smaller than the sum of its proper divisors (24594124788).

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

13674796812 is a wasteful number, since it uses less digits than its factorization.

13674796812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10524 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 13674796812 in words is "thirteen billion, six hundred seventy-four million, seven hundred ninety-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 81 108 114 142 162 171 213 228 243 284 324 342 426 486 513 639 684 852 972 1026 1278 1349 1539 1917 2052 2556 2698 3078 3834 4047 4617 5396 5751 6156 7668 8094 9234 10429 11502 12141 16188 17253 18468 20858 23004 24282 31287 34506 36423 41716 48564 62574 69012 72846 93861 109269 125148 145692 187722 198151 218538 281583 327807 375444 396302 437076 563166 594453 655614 740459 792604 844749 1126332 1188906 1311228 1480918 1689498 1783359 2221377 2377812 2534247 2961836 3378996 3566718 4442754 5068494 5350077 6664131 7133436 8885508 10136988 10700154 13328262 14068721 16050231 19992393 21400308 26656524 28137442 32100462 39984786 42206163 48150693 56274884 59977179 64200924 79969572 84412326 96301386 119954358 126618489 168824652 179931537 192602772 239908716 253236978 359863074 379855467 506473956 719726148 759710934 1139566401 1519421868 2279132802 3418699203 4558265604 6837398406 13674796812