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12745068864 = 2631110975501
BaseRepresentation
bin10111101111010101…
…00101000101000000
31012220020002120200120
423313222211011000
5202100214200424
65504403020240
7630556204113
oct136752450500
935806076616
1012745068864
115450293970
12257836a680
131281623988
1488c96857a
154e8d96a79
hex2f7aa5140

12745068864 has 112 divisors (see below), whose sum is σ = 36827130816. Its totient is φ = 3857920000.

The previous prime is 12745068863. The next prime is 12745068937. The reversal of 12745068864 is 46886054721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12745068863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314114 + ... + 2319614.

It is an arithmetic number, because the mean of its divisors is an integer number (328813668).

Almost surely, 212745068864 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 12745068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413565408).

12745068864 is an abundant number, since it is smaller than the sum of its proper divisors (24082061952).

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

12745068864 is a wasteful number, since it uses less digits than its factorization.

12745068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 12745068864 in words is "twelve billion, seven hundred forty-five million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1097 2112 2194 3291 4388 5501 6582 8776 11002 12067 13164 16503 17552 22004 24134 26328 33006 35104 36201 44008 48268 52656 60511 66012 70208 72402 88016 96536 105312 121022 132024 144804 176032 181533 193072 210624 242044 264048 289608 352064 363066 386144 484088 528096 579216 726132 772288 968176 1056192 1158432 1452264 1936352 2316864 2904528 3872704 5809056 6034597 11618112 12069194 18103791 24138388 36207582 48276776 66380567 72415164 96553552 132761134 144830328 193107104 199141701 265522268 289660656 386214208 398283402 531044536 579321312 796566804 1062089072 1158642624 1593133608 2124178144 3186267216 4248356288 6372534432 12745068864