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14840274848 = 257217232749
BaseRepresentation
bin11011101001000110…
…01001111110100000
31102022020121001222012
431310203021332200
5220343102243343
610452330332052
71033520153300
oct156443117640
942266531865
1014840274848
116325a48163
122a61b8a028
131526723729
14a0ad27600
155bccb3718
hex3748c9fa0

14840274848 has 108 divisors (see below), whose sum is σ = 36104811750. Its totient is φ = 5985810432.

The previous prime is 14840274811. The next prime is 14840274857. The reversal of 14840274848 is 84847204841.

It is a happy number.

14840274848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14101087504 + 739187344 = 118748^2 + 27188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14840274796 and 14840274805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436778 + ... + 469526.

Almost surely, 214840274848 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 14840274848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052405875).

14840274848 is an abundant number, since it is smaller than the sum of its proper divisors (21264536902).

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

14840274848 is a wasteful number, since it uses less digits than its factorization.

14840274848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32807 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 50.

The spelling of 14840274848 in words is "fourteen billion, eight hundred forty million, two hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 289 392 476 544 578 784 833 952 1156 1568 1666 1904 2023 2312 3332 3808 4046 4624 6664 8092 9248 13328 14161 16184 26656 28322 32368 32749 56644 64736 65498 113288 130996 226576 229243 261992 453152 458486 523984 556733 916972 1047968 1113466 1604701 1833944 2226932 3209402 3667888 3897131 4453864 6418804 7335776 7794262 8907728 9464461 12837608 15588524 17815456 18928922 25675216 27279917 31177048 37857844 51350432 54559834 62354096 66251227 75715688 109119668 124708192 132502454 151431376 218239336 265004908 302862752 436478672 463758589 530009816 872957344 927517178 1060019632 1855034356 2120039264 3710068712 7420137424 14840274848