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14425612928 = 27537329129
BaseRepresentation
bin11010110111101010…
…10110001010000000
31101020100100001202022
431123311112022000
5214020424103203
610343234541012
71020323454356
oct153365261200
941210301668
1014425612928
116132978561
122967137768
13148b84a64c
149abc277d6
155966a5a38
hex35bd56280

14425612928 has 64 divisors (see below), whose sum is σ = 29682887400. Its totient is φ = 6979534848.

The previous prime is 14425612921. The next prime is 14425612933. The reversal of 14425612928 is 82921652441.

It can be written as a sum of positive squares in 4 ways, for example, as 12509975104 + 1915637824 = 111848^2 + 43768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14425612921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480668 + ... + 509796.

Almost surely, 214425612928 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 14425612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841443700).

14425612928 is an abundant number, since it is smaller than the sum of its proper divisors (15257274472).

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

14425612928 is an equidigital number, since it uses as much as digits as its factorization.

14425612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29269 (or 29257 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The spelling of 14425612928 in words is "fourteen billion, four hundred twenty-five million, six hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 73 106 128 146 212 292 424 584 848 1168 1696 2336 3392 3869 4672 6784 7738 9344 15476 29129 30952 58258 61904 116516 123808 233032 247616 466064 495232 932128 1543837 1864256 2126417 3087674 3728512 4252834 6175348 8505668 12350696 17011336 24701392 34022672 49402784 68045344 98805568 112700101 136090688 197611136 225400202 272181376 450800404 901600808 1803201616 3606403232 7212806464 14425612928