Search a number
-
+
13506426456 = 23331163111373
BaseRepresentation
bin11001001010000101…
…11011011001011000
31021212021201112221220
430211002323121120
5210130121121311
610112121332040
7655462505415
oct144502733130
937767645856
1013506426456
115801031116
12274b337020
131373296c23
14921b1510c
15540b39206
hex3250bb658

13506426456 has 64 divisors (see below), whose sum is σ = 35069445120. Its totient is φ = 4330143360.

The previous prime is 13506426371. The next prime is 13506426457. The reversal of 13506426456 is 65462460531.

It is a super-2 number, since 2×135064264562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506426457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65586 + ... + 176958.

It is an arithmetic number, because the mean of its divisors is an integer number (547960080).

Almost surely, 213506426456 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 13506426456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534722560).

13506426456 is an abundant number, since it is smaller than the sum of its proper divisors (21563018664).

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

13506426456 is a wasteful number, since it uses less digits than its factorization.

13506426456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111576 (or 111572 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 13506426456 its reverse (65462460531), we get a palindrome (78968886987).

The spelling of 13506426456 in words is "thirteen billion, five hundred six million, four hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 163 186 248 326 372 489 652 744 978 1304 1956 3912 5053 10106 15159 20212 30318 40424 60636 111373 121272 222746 334119 445492 668238 890984 1336476 2672952 3452563 6905126 10357689 13810252 18153799 20715378 27620504 36307598 41430756 54461397 72615196 82861512 108922794 145230392 217845588 435691176 562767769 1125535538 1688303307 2251071076 3376606614 4502142152 6753213228 13506426456