Search a number
-
+
13625210214 = 23271153185483
BaseRepresentation
bin11001011000010000…
…00011010101100110
31022011120020101122100
430230020003111212
5210401023211324
610132003312530
7661434242640
oct145410032546
938146211570
1013625210214
115862092110
12278307b746
131391a86385
149337d5890
1554b29e4c9
hex32c203566

13625210214 has 96 divisors (see below), whose sum is σ = 37500413184. Its totient is φ = 3472223040.

The previous prime is 13625210141. The next prime is 13625210219. The reversal of 13625210214 is 41201252631.

13625210214 is a `hidden beast` number, since 1 + 3 + 625 + 2 + 10 + 21 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625210219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284 + ... + 166199.

It is an arithmetic number, because the mean of its divisors is an integer number (390629304).

Almost surely, 213625210214 is an apocalyptic number.

13625210214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750206592).

13625210214 is an abundant number, since it is smaller than the sum of its proper divisors (23875202970).

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

13625210214 is a wasteful number, since it uses less digits than its factorization.

13625210214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185562 (or 185559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13625210214 its reverse (41201252631), we get a palindrome (54826462845).

The spelling of 13625210214 in words is "thirteen billion, six hundred twenty-five million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 477 583 693 742 954 1113 1166 1386 1749 2226 3339 3498 4081 5247 6678 8162 10494 12243 24486 36729 73458 185483 370966 556449 1112898 1298381 1669347 2040313 2596762 3338694 3895143 4080626 6120939 7790286 9830599 11685429 12241878 14282191 18362817 19661198 23370858 28564382 29491797 36725634 42846573 58983594 68814193 85693146 88475391 108136589 128539719 137628386 176950782 206442579 216273178 257079438 324409767 412885158 619327737 648819534 756956123 973229301 1238655474 1513912246 1946458602 2270868369 4541736738 6812605107 13625210214