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14428725552 = 2432195273657
BaseRepresentation
bin11010111000000010…
…01110000100110000
31101020120012012110200
431130001032010300
5214022223204202
610343425355200
71020362100153
oct153401160460
941216165420
1014428725552
11613470407a
122968198b00
13148c39a337
149ac3d7c9a
15596abce1c
hex35c04e130

14428725552 has 60 divisors (see below), whose sum is σ = 42505683480. Its totient is φ = 4556438784.

The previous prime is 14428725547. The next prime is 14428725583. The reversal of 14428725552 is 25552782441.

14428725552 is a `hidden beast` number, since 1 + 4 + 4 + 28 + 72 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14428725498 and 14428725507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2634093 + ... + 2639564.

It is an arithmetic number, because the mean of its divisors is an integer number (708428058).

Almost surely, 214428725552 is an apocalyptic number.

14428725552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14428725552 is an abundant number, since it is smaller than the sum of its proper divisors (28076957928).

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

14428725552 is a wasteful number, since it uses less digits than its factorization.

14428725552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273690 (or 5273681 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The spelling of 14428725552 in words is "fourteen billion, four hundred twenty-eight million, seven hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5273657 10547314 15820971 21094628 31641942 42189256 47462913 63283884 84378512 94925826 100199483 126567768 189851652 200398966 253135536 300598449 379703304 400797932 601196898 759406608 801595864 901795347 1202393796 1603191728 1803590694 2404787592 3607181388 4809575184 7214362776 14428725552