Search a number
-
+
12247775161076 = 22721371924772699
BaseRepresentation
bin1011001000111010100001…
…0010011010101011110100
31121100212122111202102200002
42302032220102122223310
53101131420420123301
642014314503410432
72402605200101300
oct262165022325364
947325574672602
1012247775161076
1139a22858636a4
12145984b153a18
136aac63861330
14304b1cb28d00
151638d576316b
hexb23a849aaf4

12247775161076 has 144 divisors (see below), whose sum is σ = 26909057952000. Its totient is φ = 4834789408512.

The previous prime is 12247775161057. The next prime is 12247775161091. The reversal of 12247775161076 is 67016157774221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537892375 + ... + 4537895073.

It is an arithmetic number, because the mean of its divisors is an integer number (186868458000).

Almost surely, 212247775161076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12247775161076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454528976000).

12247775161076 is an abundant number, since it is smaller than the sum of its proper divisors (14661282790924).

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

12247775161076 is a wasteful number, since it uses less digits than its factorization.

12247775161076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 12247775161076 in words is "twelve trillion, two hundred forty-seven billion, seven hundred seventy-five million, one hundred sixty-one thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 719 1274 1438 2477 2548 2699 2876 4954 5033 5398 9347 9908 10066 10796 17339 18694 18893 20132 32201 34678 35087 35231 37388 37786 64402 65429 69356 70174 70462 75572 121373 128804 130858 132251 140348 140924 225407 242746 245609 261716 264502 450814 458003 485492 491218 529004 901628 916006 982436 1577849 1719263 1780963 1832012 1940581 3155698 3438526 3561926 3881162 6311396 6685423 6877052 7123852 7762324 12466741 13370846 13584067 23152519 24933482 25227553 26741692 27168134 46305038 46797961 49866964 50455106 54336268 86910499 87267187 92610076 93595922 95088469 100910212 162067633 173820998 174534374 176592871 187191844 190176938 324135266 327585727 347641996 349068748 353185742 380353876 608373493 648270532 655171454 706371484 1134473431 1216746986 1236150097 1310342908 2268946862 2433493972 2472300194 4258614451 4537893724 4806819137 4944600388 8517228902 9613638274 17034457804 19227276548 33647733959 62488648781 67295467918 124977297562 134590935836 235534137713 249954595124 437420541467 471068275426 874841082934 942136550852 1749682165868 3061943790269 6123887580538 12247775161076