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13234213536 = 253415956989
BaseRepresentation
bin11000101001101001…
…00001001010100000
31021011022111201000220
430110310201022200
5204100424313121
610025115043040
7645645646635
oct142464411240
937138451026
1013234213536
115681406565
122694140480
13132ba77aab
148d78d618c
15526cb86c6
hex314d212a0

13234213536 has 96 divisors (see below), whose sum is σ = 36190929600. Its totient is φ = 4230789120.

The previous prime is 13234213519. The next prime is 13234213541. The reversal of 13234213536 is 63531243231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13234213497 and 13234213506.

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, 203730 + ... + 260718.

It is an arithmetic number, because the mean of its divisors is an integer number (376988850).

Almost surely, 213234213536 is an apocalyptic number.

13234213536 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 13234213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095464800).

13234213536 is an abundant number, since it is smaller than the sum of its proper divisors (22956716064).

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

13234213536 is a wasteful number, since it uses less digits than its factorization.

13234213536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57102 (or 57094 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

Adding to 13234213536 its reverse (63531243231), we get a palindrome (76765456767).

The spelling of 13234213536 in words is "thirteen billion, two hundred thirty-four million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 82 96 118 123 164 177 236 246 328 354 472 492 656 708 944 984 1312 1416 1888 1968 2419 2832 3936 4838 5664 7257 9676 14514 19352 29028 38704 56989 58056 77408 113978 116112 170967 227956 232224 341934 455912 683868 911824 1367736 1823648 2336549 2735472 3362351 4673098 5470944 6724702 7009647 9346196 10087053 13449404 14019294 18692392 20174106 26898808 28038588 37384784 40348212 53797616 56077176 74769568 80696424 107595232 112154352 137856391 161392848 224308704 275712782 322785696 413569173 551425564 827138346 1102851128 1654276692 2205702256 3308553384 4411404512 6617106768 13234213536