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14218547168 = 257213169221
BaseRepresentation
bin11010011110111110…
…11100111111100000
31100200220201000221002
431033133130333200
5213104422002133
610310520451132
71012230441200
oct151737347740
940626630832
1014218547168
116036aa9a31
122909919aa8
13145798b227
1498c526400
15583402ce8
hex34f7dcfe0

14218547168 has 72 divisors (see below), whose sum is σ = 32812058664. Its totient is φ = 6047059200.

The previous prime is 14218547093. The next prime is 14218547177. The reversal of 14218547168 is 86174581241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170798 + ... + 240018.

It is an arithmetic number, because the mean of its divisors is an integer number (455723037).

Almost surely, 214218547168 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 14218547168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406029332).

14218547168 is an abundant number, since it is smaller than the sum of its proper divisors (18593511496).

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

14218547168 is a wasteful number, since it uses less digits than its factorization.

14218547168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69376 (or 69361 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The spelling of 14218547168 in words is "fourteen billion, two hundred eighteen million, five hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 131 196 224 262 392 524 784 917 1048 1568 1834 2096 3668 4192 6419 7336 12838 14672 25676 29344 51352 69221 102704 138442 205408 276884 484547 553768 969094 1107536 1938188 2215072 3391829 3876376 6783658 7752752 9067951 13567316 15505504 18135902 27134632 36271804 54269264 63475657 72543608 108538528 126951314 145087216 253902628 290174432 444329599 507805256 888659198 1015610512 1777318396 2031221024 3554636792 7109273584 14218547168