Search a number
-
+
12012053487472 = 2417374379351359
BaseRepresentation
bin1010111011001100011000…
…1011100101111101110000
31120112100012122211201011101
42232303012023211331300
53033301141143044342
641314132230054144
72346561611660263
oct256630613457560
946470178751141
1012012053487472
1139113130493a5
1214200244aa354
13691968960cac
142d755a760cda
1515c6db2093b7
hexaecc62e5f70

12012053487472 has 160 divisors (see below), whose sum is σ = 26224835788800. Its totient is φ = 5304032907264.

The previous prime is 12012053487433. The next prime is 12012053487479. The reversal of 12012053487472 is 27478435021021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012053487479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34011729 + ... + 34363087.

It is an arithmetic number, because the mean of its divisors is an integer number (163905223680).

Almost surely, 212012053487472 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 12012053487472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112417894400).

12012053487472 is an abundant number, since it is smaller than the sum of its proper divisors (14212782301328).

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

12012053487472 is a wasteful number, since it uses less digits than its factorization.

12012053487472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351543 (or 351537 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 12012053487472 in words is "twelve trillion, twelve billion, fifty-three million, four hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 37 43 68 74 79 86 136 148 158 172 272 296 316 344 592 629 632 688 731 1258 1264 1343 1462 1591 2516 2686 2923 2924 3182 3397 5032 5372 5846 5848 6364 6794 10064 10744 11692 11696 12728 13588 21488 23384 25456 27047 27176 46768 49691 54094 54352 57749 99382 108188 115498 125689 198764 216376 230996 251378 351359 397528 432752 461992 502756 702718 795056 923984 1005512 1405436 2011024 2136713 2810872 4273426 5621744 5973103 8546852 11946206 13000283 15108437 17093704 23892412 26000566 27757361 30216874 34187408 47784824 52001132 55514722 60433748 95569648 104002264 111029444 120867496 208004528 221004811 222058888 241734992 256843429 442009622 444117776 471875137 513686858 559012169 884019244 943750274 1027022357 1027373716 1118024338 1193566523 1768038488 1887500548 2054044714 2054747432 2236048676 2387133046 3536076976 3775001096 4108089428 4109494864 4472097352 4774266092 7550002192 8216178856 8944194704 9503206873 9548532184 16432357712 17459380069 19006413746 19097064368 20290630891 34918760138 38012827492 40581261782 44161961351 69837520276 76025654984 81162523564 88323922702 139675040552 152051309968 162325047128 176647845404 279350081104 324650094256 353295690808 706591381616 750753342967 1501506685934 3003013371868 6006026743736 12012053487472