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6666644174112 = 25321311717151969
BaseRepresentation
bin110000100000011001011…
…1101010011010100100000
3212121022202220011102120100
41201000302331103110200
51333211241402032422
622102340345142400
71255435441332666
oct141006275232440
925538686142510
106666644174112
11214034292339a
128b805978aa00
1339487b107550
1419094b0dac36
15b86349d77ac
hex61032f53520

6666644174112 has 144 divisors (see below), whose sum is σ = 20418474618360. Its totient is φ = 2051086565376.

The previous prime is 6666644174111. The next prime is 6666644174123. The reversal of 6666644174112 is 2114714466666.

It can be written as a sum of positive squares in 4 ways, for example, as 3366623146896 + 3300021027216 = 1834836^2 + 1816596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6666644174111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43792464 + ... + 43944432.

Almost surely, 26666644174112 is an apocalyptic number.

It is an amenable number.

6666644174112 is an abundant number, since it is smaller than the sum of its proper divisors (13751830444248).

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

6666644174112 is a wasteful number, since it uses less digits than its factorization.

6666644174112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163715 (or 163704 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 6666644174112 in words is "six trillion, six hundred sixty-six billion, six hundred forty-four million, one hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 11717 23434 35151 46868 70302 93736 105453 140604 151969 152321 187472 210906 281208 303938 304642 374944 421812 455907 456963 562416 607876 609284 843624 911814 913926 1124832 1215752 1218568 1367721 1370889 1687248 1823628 1827852 1975597 2431504 2437136 2735442 2741778 3374496 3647256 3655704 3951194 4863008 4874272 5470884 5483556 5926791 7294512 7311408 7902388 10941768 10967112 11853582 14589024 14622816 15804776 17780373 21883536 21934224 23707164 31609552 35560746 43767072 43868448 47414328 63219104 71121492 94828656 142242984 189657312 284485968 568971936 1780620773 3561241546 5341862319 7122483092 10683724638 14244966184 16025586957 21367449276 23148070049 28489932368 32051173914 42734898552 46296140098 56979864736 64102347828 69444210147 85469797104 92592280196 128204695656 138888420294 170939594208 185184560392 208332630441 256409391312 277776840588 370369120784 416665260882 512818782624 555553681176 740738241568 833330521764 1111107362352 1666661043528 2222214724704 3333322087056 6666644174112