Search a number
-
+
14657550208 = 27719384761
BaseRepresentation
bin11011010011010100…
…00111011110000000
31101211111202200212221
431221222013132000
5220004313101313
610422242100424
71026141056350
oct155152073600
941744680787
1014657550208
116241894464
122a1094a714
1314c7907642
149d0960b60
155abc1cc8d
hex369a87780

14657550208 has 64 divisors (see below), whose sum is σ = 33545409120. Its totient is φ = 6249185280.

The previous prime is 14657550197. The next prime is 14657550211. The reversal of 14657550208 is 80205575641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130548 + ... + 215308.

Almost surely, 214657550208 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 14657550208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772704560).

14657550208 is an abundant number, since it is smaller than the sum of its proper divisors (18887858912).

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

14657550208 is an equidigital number, since it uses as much as digits as its factorization.

14657550208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84975 (or 84963 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 14657550208 in words is "fourteen billion, six hundred fifty-seven million, five hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 224 386 448 772 896 1351 1544 2702 3088 5404 6176 10808 12352 21616 24704 43232 84761 86464 169522 172928 339044 593327 678088 1186654 1356176 2373308 2712352 4746616 5424704 9493232 10849408 16358873 18986464 32717746 37972928 65435492 75945856 114512111 130870984 229024222 261741968 458048444 523483936 916096888 1046967872 1832193776 2093935744 3664387552 7328775104 14657550208