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6666248293344 = 253234636684001
BaseRepresentation
bin110000100000001101101…
…0111001000101111100000
3212121021202022020121020200
41201000123113020233200
51333204434030341334
622102233204105200
71255422563365443
oct141003327105740
925537668217220
106666248293344
11214015a411302
128b7b69095200
133948170a8b83
141909106c965a
15b860ed89799
hex6101b5c8be0

6666248293344 has 72 divisors (see below), whose sum is σ = 18962620618032. Its totient is φ = 2221440768000.

The previous prime is 6666248293301. The next prime is 6666248293357. The reversal of 6666248293344 is 4433928426666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2344657 + ... + 4339344.

It is an arithmetic number, because the mean of its divisors is an integer number (263369730806).

Almost surely, 26666248293344 is an apocalyptic number.

It is an amenable number.

6666248293344 is an abundant number, since it is smaller than the sum of its proper divisors (12296372324688).

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

6666248293344 is a wasteful number, since it uses less digits than its factorization.

6666248293344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687480 (or 6687469 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 63.

The spelling of 6666248293344 in words is "six trillion, six hundred sixty-six billion, two hundred forty-eight million, two hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3463 6926 10389 13852 20778 27704 31167 41556 55408 62334 83112 110816 124668 166224 249336 332448 498672 997344 6684001 13368002 20052003 26736004 40104006 53472008 60156009 80208012 106944016 120312018 160416024 213888032 240624036 320832048 481248072 641664096 962496144 1924992288 23146695463 46293390926 69440086389 92586781852 138880172778 185173563704 208320259167 277760345556 370347127408 416640518334 555520691112 740694254816 833281036668 1111041382224 1666562073336 2222082764448 3333124146672 6666248293344