Search a number
-
+
13506235464 = 2334788713499
BaseRepresentation
bin11001001010000100…
…01100110001001000
31021212021100211222010
430211002030301020
5210130044013324
610112113255520
7655461051531
oct144502146110
937767324863
1013506235464
115800a10677
12274b2645a0
13137322b007
14921aa5688
15540aec829
hex32508cc48

13506235464 has 64 divisors (see below), whose sum is σ = 34525440000. Its totient is φ = 4400995904.

The previous prime is 13506235459. The next prime is 13506235469. The reversal of 13506235464 is 46453260531.

It is an interprime number because it is at equal distance from previous prime (13506235459) and next prime (13506235469).

It is a super-2 number, since 2×135062354642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13506235469) 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, 993787 + ... + 1007285.

It is an arithmetic number, because the mean of its divisors is an integer number (539460000).

Almost surely, 213506235464 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 13506235464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262720000).

13506235464 is an abundant number, since it is smaller than the sum of its proper divisors (21019204536).

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

13506235464 is a wasteful number, since it uses less digits than its factorization.

13506235464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 13506235464 its reverse (46453260531), we get a palindrome (59959495995).

The spelling of 13506235464 in words is "thirteen billion, five hundred six million, two hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 887 1128 1774 2661 3548 5322 7096 10644 13499 21288 26998 40497 41689 53996 80994 83378 107992 125067 161988 166756 250134 323976 333512 500268 634453 1000536 1268906 1903359 2537812 3806718 5075624 7613436 11973613 15226872 23947226 35920839 47894452 71841678 95788904 143683356 287366712 562759811 1125519622 1688279433 2251039244 3376558866 4502078488 6753117732 13506235464