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14493258752 = 21073754647
BaseRepresentation
bin11010111111101110…
…11001010000000000
31101102001121211101012
431133313121100000
5214140233240002
610354052500052
71022104444460
oct153767312000
941361554335
1014493258752
1161680808a5
12298591a628
13149c87376b
149b6bd5ba0
1559c5b8d52
hex35fdd9400

14493258752 has 88 divisors (see below), whose sum is σ = 34006794624. Its totient is φ = 6043410432.

The previous prime is 14493258749. The next prime is 14493258763. The reversal of 14493258752 is 25785239441.

14493258752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14493258752.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 237893 + ... + 292539.

It is an arithmetic number, because the mean of its divisors is an integer number (386440848).

Almost surely, 214493258752 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 14493258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003397312).

14493258752 is an abundant number, since it is smaller than the sum of its proper divisors (19513535872).

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

14493258752 is an equidigital number, since it uses as much as digits as its factorization.

14493258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54711 (or 54693 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The spelling of 14493258752 in words is "fourteen billion, four hundred ninety-three million, two hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2072 2368 3584 4144 4736 7168 8288 9472 16576 18944 33152 37888 54647 66304 109294 132608 218588 265216 382529 437176 765058 874352 1530116 1748704 2021939 3060232 3497408 4043878 6120464 6994816 8087756 12240928 13989632 14153573 16175512 24481856 27979264 28307146 32351024 48963712 55958528 56614292 64702048 97927424 113228584 129404096 195854848 226457168 258808192 391709696 452914336 517616384 905828672 1035232768 1811657344 2070465536 3623314688 7246629376 14493258752