Search a number
-
+
12257893521888 = 253723793083173
BaseRepresentation
bin1011001001100000001101…
…1000111001100111100000
31121101211202200020102022020
42302120003120321213200
53101313131220200023
642023110515141440
72403414012536430
oct262300330714740
947354680212266
1012257893521888
1139a65a836a963
12145b7b38a4880
136abbb6c20591
143053dc89c2c0
15163cc8c00de3
hexb26036399e0

12257893521888 has 96 divisors (see below), whose sum is σ = 38372536290816. Its totient is φ = 3349983318528.

The previous prime is 12257893521871. The next prime is 12257893521893. The reversal of 12257893521888 is 88812539875221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396526131 + ... + 396557042.

It is an arithmetic number, because the mean of its divisors is an integer number (399713919696).

Almost surely, 212257893521888 is an apocalyptic number.

It is an amenable number.

12257893521888 is an abundant number, since it is smaller than the sum of its proper divisors (26114642768928).

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

12257893521888 is a wasteful number, since it uses less digits than its factorization.

12257893521888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793083216 (or 793083208 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 69.

The spelling of 12257893521888 in words is "twelve trillion, two hundred fifty-seven billion, eight hundred ninety-three million, five hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 793083173 1586166346 2379249519 3172332692 4758499038 5551582211 6344665384 9516998076 11103164422 12689330768 16654746633 18240912979 19033996152 22206328844 25378661536 33309493266 36481825958 38067992304 44412657688 54722738937 66618986532 72963651916 76135984608 88825315376 109445477874 127686390853 133237973064 145927303832 177650630752 218890955748 255372781706 266475946128 291854607664 383059172559 437781911496 510745563412 532951892256 583709215328 766118345118 875563822992 1021491126824 1532236690236 1751127645984 2042982253648 3064473380472 4085964507296 6128946760944 12257893521888