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12684897216 = 263313215557
BaseRepresentation
bin10111101000001010…
…00010101111000000
31012202000212112201000
423310011002233000
5201434313202331
65454413212000
7626225563425
oct136405025700
935660775630
1012684897216
11541a326032
122560191000
131272016854
14884983d4c
154e395d0e6
hex2f4142bc0

12684897216 has 112 divisors (see below), whose sum is σ = 37326194080. Its totient is φ = 4224337920.

The previous prime is 12684897193. The next prime is 12684897271. The reversal of 12684897216 is 61279848621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279910 + ... + 2285466.

It is an arithmetic number, because the mean of its divisors is an integer number (333269590).

Almost surely, 212684897216 is an apocalyptic number.

12684897216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663097040).

12684897216 is an abundant number, since it is smaller than the sum of its proper divisors (24641296864).

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

12684897216 is a wasteful number, since it uses less digits than its factorization.

12684897216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899 (or 6883 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 12684897216 in words is "twelve billion, six hundred eighty-four million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1321 1728 2642 3963 5284 5557 7926 10568 11114 11889 15852 16671 21136 22228 23778 31704 33342 35667 42272 44456 47556 50013 63408 66684 71334 84544 88912 95112 100026 126816 133368 142668 150039 177824 190224 200052 253632 266736 285336 300078 355648 380448 400104 533472 570672 600156 760896 800208 1066944 1141344 1200312 1600416 2282688 2400624 3200832 4801248 7340797 9602496 14681594 22022391 29363188 44044782 58726376 66067173 88089564 117452752 132134346 176179128 198201519 234905504 264268692 352358256 396403038 469811008 528537384 704716512 792806076 1057074768 1409433024 1585612152 2114149536 3171224304 4228299072 6342448608 12684897216