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14833140832 = 25171634092
BaseRepresentation
bin11011101000001111…
…11100010001100000
31102021202011121221101
431310013330101200
5220334241001312
610451513404144
71033402421356
oct156407742140
942252147841
1014833140832
116321a15284
122a5b709654
1315250c6513
14a09dcb7d6
155bc354a57
hex3741fc460

14833140832 has 72 divisors (see below), whose sum is σ = 31186501416. Its totient is φ = 6920515584.

The previous prime is 14833140821. The next prime is 14833140857. The reversal of 14833140832 is 23804133841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14833140791 and 14833140800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36266644 + ... + 36267052.

It is an arithmetic number, because the mean of its divisors is an integer number (433145853).

Almost surely, 214833140832 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 14833140832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593250708).

14833140832 is an abundant number, since it is smaller than the sum of its proper divisors (16353360584).

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

14833140832 is an equidigital number, since it uses as much as digits as its factorization.

14833140832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 14833140832 in words is "fourteen billion, eight hundred thirty-three million, one hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 272 326 409 544 652 818 1304 1636 2608 2771 3272 5216 5542 6544 6953 11084 13088 13906 22168 27812 44336 55624 66667 88672 111248 133334 167281 222496 266668 334562 533336 669124 1066672 1133339 1338248 2133344 2266678 2676496 2843777 4533356 5352992 5687554 9066712 11375108 18133424 22750216 27266803 36266848 45500432 54533606 91000864 109067212 218134424 436268848 463535651 872537696 927071302 1854142604 3708285208 7416570416 14833140832