Search a number
-
+
14675229216 = 253356929851
BaseRepresentation
bin11011010101011011…
…00011101000100000
31101212202000212221000
431222231203220200
5220023324313331
610424113032000
71026444250554
oct155255435040
941782025830
1014675229216
116250869a0a
122a16855600
1314cb4874ab
149d3043864
155ad5610e6
hex36ab63a20

14675229216 has 96 divisors (see below), whose sum is σ = 42879412800. Its totient is φ = 4882982400.

The previous prime is 14675229197. The next prime is 14675229227. The reversal of 14675229216 is 61292257641.

14675229216 is a `hidden beast` number, since 146 + 75 + 229 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476691 + ... + 506541.

It is an arithmetic number, because the mean of its divisors is an integer number (446660550).

Almost surely, 214675229216 is an apocalyptic number.

14675229216 is a gapful number since it is divisible by the number (16) 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 14675229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21439706400).

14675229216 is an abundant number, since it is smaller than the sum of its proper divisors (28204183584).

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

14675229216 is a wasteful number, since it uses less digits than its factorization.

14675229216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30439 (or 30425 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 14675229216 in words is "fourteen billion, six hundred seventy-five million, two hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 569 864 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 15363 18208 20484 27312 29851 30726 40968 54624 59702 61452 81936 89553 119404 122904 163872 179106 238808 245808 268659 358212 477616 491616 537318 716424 805977 955232 1074636 1432848 1611954 2149272 2865696 3223908 4298544 6447816 8597088 12895632 16985219 25791264 33970438 50955657 67940876 101911314 135881752 152866971 203822628 271763504 305733942 407645256 458600913 543527008 611467884 815290512 917201826 1222935768 1630581024 1834403652 2445871536 3668807304 4891743072 7337614608 14675229216