Search a number
-
+
14506600460 = 22511222326881
BaseRepresentation
bin11011000001010100…
…10010100000001100
31101102222201122202112
431200222102200030
5214202142203320
610355250443152
71022326032542
oct154052224014
941388648675
1014506600460
116174663700
12298a2934b8
1314a2565371
149b88a9d92
1559d851ec5
hex360a9280c

14506600460 has 72 divisors (see below), whose sum is σ = 33636478848. Its totient is φ = 5251276800.

The previous prime is 14506600441. The next prime is 14506600499. The reversal of 14506600460 is 6400660541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526220 + ... + 553100.

Almost surely, 214506600460 is an apocalyptic number.

14506600460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14506600460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818239424).

14506600460 is an abundant number, since it is smaller than the sum of its proper divisors (19129878388).

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

14506600460 is a wasteful number, since it uses less digits than its factorization.

14506600460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27135 (or 27122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 14506600460 in words is "fourteen billion, five hundred six million, six hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 223 242 446 484 605 892 1115 1210 2230 2420 2453 4460 4906 9812 12265 24530 26881 26983 49060 53762 53966 107524 107932 134405 134915 268810 269830 295691 537620 539660 591382 1182764 1478455 2956910 3252601 5913820 5994463 6505202 11988926 13010404 16263005 23977852 29972315 32526010 59944630 65052020 65939093 119889260 131878186 263756372 329695465 659390930 725330023 1318781860 1450660046 2901320092 3626650115 7253300230 14506600460