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12168478304 = 253711638837
BaseRepresentation
bin10110101010100110…
…00011111001100000
31011102001010202010122
423111103003321200
5144410112301204
65331244415412
7610355234063
oct132523037140
934361122118
1012168478304
115184874944
122437247568
1311bc033328
148361568da
154b34500be
hex2d54c3e60

12168478304 has 48 divisors (see below), whose sum is σ = 24628112208. Its totient is φ = 5914040832.

The previous prime is 12168478291. The next prime is 12168478321. The reversal of 12168478304 is 40387486121.

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, 1372574 + ... + 1381410.

It is an arithmetic number, because the mean of its divisors is an integer number (513085671).

Almost surely, 212168478304 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 12168478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314056104).

12168478304 is an abundant number, since it is smaller than the sum of its proper divisors (12459633904).

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

12168478304 is a wasteful number, since it uses less digits than its factorization.

12168478304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 12168478304 in words is "twelve billion, one hundred sixty-eight million, four hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1163 1184 2326 4652 8837 9304 17674 18608 35348 37216 43031 70696 86062 141392 172124 282784 326969 344248 653938 688496 1307876 1376992 2615752 5231504 10277431 10463008 20554862 41109724 82219448 164438896 328877792 380264947 760529894 1521059788 3042119576 6084239152 12168478304