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14935906048 = 28728872
BaseRepresentation
bin11011110100011111…
…11101011100000000
31102112220112122022111
431322033331130000
5221042042443143
610510024145104
71036061051410
oct157217753400
942486478274
1014935906048
116374a25308
122a8a008194
13154049783b
14a198dc640
155c63a399d
hex37a3fd700

14935906048 has 54 divisors (see below), whose sum is σ = 34084341816. Its totient is φ = 6398885376.

The previous prime is 14935906039. The next prime is 14935906067. The reversal of 14935906048 is 84060953941.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14935905992 and 14935906010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5172061 + ... + 5174947.

Almost surely, 214935906048 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 14935906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042170908).

14935906048 is an abundant number, since it is smaller than the sum of its proper divisors (19148435768).

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

14935906048 is an frugal number, since it uses more digits than its factorization.

14935906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 14935906048 in words is "fourteen billion, nine hundred thirty-five million, nine hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2887 5774 11548 20209 23096 40418 46192 80836 92384 161672 184768 323344 369536 646688 739072 1293376 2586752 5173504 8334769 16669538 33339076 58343383 66678152 116686766 133356304 233373532 266712608 466747064 533425216 933494128 1066850432 1866988256 2133700864 3733976512 7467953024 14935906048