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6121426241216 = 2611136110964953
BaseRepresentation
bin101100100010100000101…
…1011111100011011000000
3210200012110201102201112102
41121011001123330123000
51300243140104204331
621004051104445532
71201154435351216
oct131050133743300
923605421381472
106121426241216
111a5009a589720
1282a4593198a8
1335532bb82a80
141723c8718cb6
15a93742684cb
hex591416fc6c0

6121426241216 has 112 divisors (see below), whose sum is σ = 14504792029728. Its totient is φ = 2526324940800.

The previous prime is 6121426241191. The next prime is 6121426241219.

6121426241216 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6121426241216.

It is not an unprimeable number, because it can be changed into a prime (6121426241219) by changing a digit.

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, 4924205 + ... + 6040748.

It is an arithmetic number, because the mean of its divisors is an integer number (129507071694).

Almost surely, 26121426241216 is an apocalyptic number.

It is an amenable number.

6121426241216 is an abundant number, since it is smaller than the sum of its proper divisors (8383365788512).

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

6121426241216 is a wasteful number, since it uses less digits than its factorization.

6121426241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965050 (or 10965040 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The spelling of 6121426241216 in words is "six trillion, one hundred twenty-one billion, four hundred twenty-six million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 104 122 143 176 208 244 286 352 416 488 572 671 704 793 832 976 1144 1342 1586 1952 2288 2684 3172 3904 4576 5368 6344 8723 9152 10736 12688 17446 21472 25376 34892 42944 50752 69784 139568 279136 558272 10964953 21929906 43859812 87719624 120614483 142544389 175439248 241228966 285088778 350878496 482457932 570177556 668862133 701756992 964915864 1140355112 1337724266 1567988279 1929831728 2280710224 2675448532 3135976558 3859663456 4561420448 5350897064 6271953116 7357483463 7719326912 8695207729 9122840896 10701794128 12543906232 14714966926 17390415458 21403588256 25087812464 29429933852 34780830916 42807176512 50175624928 58859867704 69561661832 95647285019 100351249856 117719735408 139123323664 191294570038 235439470816 278246647328 382589140076 470878941632 556493294656 765178280152 1530356560304 3060713120608 6121426241216