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12393417216 = 29347171673
BaseRepresentation
bin10111000101011010…
…01000101000000000
31011222201101211022110
423202231020220000
5200340203322331
65405441535320
7616056210465
oct134255105000
934881354273
1012393417216
11528a840874
12249a644540
13122680ca8b
14857d8b66c
154c8083946
hex2e2b48a00

12393417216 has 80 divisors (see below), whose sum is σ = 33719520384. Its totient is φ = 4043218944.

The previous prime is 12393417209. The next prime is 12393417241. The reversal of 12393417216 is 61271439321.

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, 13645 + ... + 158028.

Almost surely, 212393417216 is an apocalyptic number.

12393417216 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 12393417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859760192).

12393417216 is an abundant number, since it is smaller than the sum of its proper divisors (21326103168).

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

12393417216 is an equidigital number, since it uses as much as digits as its factorization.

12393417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171741 (or 171725 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The spelling of 12393417216 in words is "twelve billion, three hundred ninety-three million, four hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 2256 3008 4512 6016 9024 12032 18048 24064 36096 72192 171673 343346 515019 686692 1030038 1373384 2060076 2746768 4120152 5493536 8068631 8240304 10987072 16137262 16480608 21974144 24205893 32274524 32961216 43948288 48411786 64549048 65922432 87896576 96823572 129098096 131844864 193647144 258196192 263689728 387294288 516392384 774588576 1032784768 1549177152 2065569536 3098354304 4131139072 6196708608 12393417216