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67094872793316 = 2232151290412
BaseRepresentation
bin11110100000101101111100…
…00011110010000011100100
322210120012121001020202021100
433100112332003302003210
532243240244413341231
6354410543053120100
720063305331561664
oct1720267603620344
9283505531222240
1067094872793316
111a418859594255
127637529189030
132b590336a9734
14127d5a2a981a4
157b54593091e6
hex3d05be0f20e4

67094872793316 has 81 divisors (see below), whose sum is σ = 170750437950729. Its totient is φ = 22214387952000.

The previous prime is 67094872793309. The next prime is 67094872793359. The reversal of 67094872793316 is 61339727849076.

The square root of 67094872793316 is 8191146.

It is a perfect power (a square), and thus also a powerful number.

67094872793316 is a `hidden beast` number, since 6 + 7 + 0 + 9 + 487 + 27 + 93 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66620757919716 + 474114873600 = 8162154^2 + 688560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7421173756 + ... + 7421182796.

Almost surely, 267094872793316 is an apocalyptic number.

67094872793316 is the 8191146-th square number.

It is an amenable number.

67094872793316 is an abundant number, since it is smaller than the sum of its proper divisors (103655565157413).

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

67094872793316 is an frugal number, since it uses more digits than its factorization.

67094872793316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18394 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 67094872793316 in words is "sixty-seven trillion, ninety-four billion, eight hundred seventy-two million, seven hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 9041 18082 22801 27123 36164 45602 54246 68403 81369 91204 108492 136806 162738 205209 273612 325476 410418 820836 1365191 2730382 4095573 5460764 8191146 12286719 16382292 24573438 49146876 81739681 163479362 206143841 245219043 326958724 412287682 490438086 618431523 735657129 824575364 980876172 1236863046 1471314258 1855294569 2473726092 2942628516 3710589138 7421178276 12342691831 24685383662 37028075493 49370767324 74056150986 111084226479 148112301972 222168452958 444336905916 1863746466481 3727492932962 5591239399443 7454985865924 11182478798886 16773718198329 22364957597772 33547436396658 67094872793316