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13764026674304 = 27715472768789
BaseRepresentation
bin1100100001001010111111…
…1010111010110010000000
31210201211100200110222110222
43020102233322322302000
53301002211312034204
645135035003442212
72620263261234014
oct310225772726200
953654320428428
1013764026674304
114427322259455
121663688826368
1378ac32b8324a
1435827a8b8544
1518d079735abe
hexc84afebac80

13764026674304 has 64 divisors (see below), whose sum is σ = 27857571451200. Its totient is φ = 6772676951040.

The previous prime is 13764026674243. The next prime is 13764026674309. The reversal of 13764026674304 is 40347662046731.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13764026674309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3586742 + ... + 6355530.

It is an arithmetic number, because the mean of its divisors is an integer number (435274553925).

Almost surely, 213764026674304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764026674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928785725600).

13764026674304 is an abundant number, since it is smaller than the sum of its proper divisors (14093544776896).

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

13764026674304 is an equidigital number, since it uses as much as digits as its factorization.

13764026674304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769421 (or 2769409 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 53.

The spelling of 13764026674304 in words is "thirteen trillion, seven hundred sixty-four billion, twenty-six million, six hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 547 568 1094 1136 2188 2272 4376 4544 8752 9088 17504 35008 38837 70016 77674 155348 310696 621392 1242784 2485568 2768789 4971136 5537578 11075156 22150312 44300624 88601248 177202496 196584019 354404992 393168038 786336076 1514527583 1572672152 3029055166 3145344304 6058110332 6290688608 12116220664 12581377216 24232441328 25162754432 48464882656 96929765312 107531458393 193859530624 215062916786 430125833572 860251667144 1720503334288 3441006668576 6882013337152 13764026674304