Search a number
-
+
12975148818768 = 2434753115394117
BaseRepresentation
bin1011110011010000001100…
…1000101110000101010000
31200221102010102121201102210
42330310003020232011100
53200041101044200033
643332411233312120
72506265166140103
oct274640310560520
950842112551383
1012975148818768
114152803279494
121556807105640
13731722229256
1432c00173a73a
151777a7aadd63
hexbcd0322e150

12975148818768 has 160 divisors (see below), whose sum is σ = 34908820978176. Its totient is φ = 4149512699904.

The previous prime is 12975148818767. The next prime is 12975148818781. The reversal of 12975148818768 is 86781884157921.

It is a self number, because there is not a number n which added to its sum of digits gives 12975148818768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975148818761) 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, 137814846 + ... + 137908962.

Almost surely, 212975148818768 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 12975148818768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454410489088).

12975148818768 is an abundant number, since it is smaller than the sum of its proper divisors (21933672159408).

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

12975148818768 is a wasteful number, since it uses less digits than its factorization.

12975148818768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95381 (or 95375 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 75.

The spelling of 12975148818768 in words is "twelve trillion, nine hundred seventy-five billion, one hundred forty-eight million, eight hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 94 106 141 159 188 212 282 318 376 424 564 636 752 848 1128 1153 1272 2256 2306 2491 2544 3459 4612 4982 6918 7473 9224 9964 13836 14946 18448 19928 27672 29892 39856 54191 55344 59784 61109 94117 108382 119568 122218 162573 183327 188234 216764 244436 282351 325146 366654 376468 433528 488872 564702 650292 733308 752936 867056 977744 1129404 1300584 1466616 1505872 2258808 2601168 2872123 2933232 4423499 4517616 4988201 5744246 8616369 8846998 9976402 11488492 13270497 14964603 17232738 17693996 19952804 22976984 26540994 29929206 34465476 35387992 39905608 45953968 53081988 59858412 68930952 70775984 79811216 106163976 108516901 119716824 137861904 212327952 217033802 234445447 239433648 325550703 434067604 468890894 651101406 703336341 868135208 937781788 1302202812 1406672682 1736270416 1875563576 2604405624 2813345364 3751127152 5100294347 5208811248 5626690728 5751395753 10200588694 11253381456 11502791506 15300883041 17254187259 20401177388 23005583012 30601766082 34508374518 40802354776 46011166024 61203532164 69016749036 81604709552 92022332048 122407064328 138033498072 244814128656 270315600391 276066996144 540631200782 810946801173 1081262401564 1621893602346 2162524803128 3243787204692 4325049606256 6487574409384 12975148818768