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12927122688 = 283142911779
BaseRepresentation
bin11000000101000010…
…00011110100000000
31020100220122212120210
430002201003310000
5202433320411223
65534425034120
7635226505224
oct140241036400
936326585523
1012927122688
115534029677
122609325940
1312b026662c
148a8bd8784
15509d58893
hex302843d00

12927122688 has 72 divisors (see below), whose sum is σ = 34431997600. Its totient is φ = 4305659904.

The previous prime is 12927122657. The next prime is 12927122693. The reversal of 12927122688 is 88622172921.

It is a super-2 number, since 2×129271226882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091583 + ... + 1103361.

Almost surely, 212927122688 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 12927122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215998800).

12927122688 is an abundant number, since it is smaller than the sum of its proper divisors (21504874912).

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

12927122688 is a wasteful number, since it uses less digits than its factorization.

12927122688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13213 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The spelling of 12927122688 in words is "twelve billion, nine hundred twenty-seven million, one hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1429 2858 4287 5716 8574 11432 11779 17148 22864 23558 34296 35337 45728 47116 68592 70674 91456 94232 137184 141348 182912 188464 274368 282696 365824 376928 548736 565392 753856 1097472 1130784 1507712 2261568 3015424 4523136 9046272 16832191 33664382 50496573 67328764 100993146 134657528 201986292 269315056 403972584 538630112 807945168 1077260224 1615890336 2154520448 3231780672 4309040896 6463561344 12927122688