Search a number
-
+
13525782696 = 23321133734457
BaseRepresentation
bin11001001100011001…
…10001000010101000
31021220122010221201200
430212030301002220
5210200100021241
610114052244200
7656116153536
oct144614610250
937818127650
1013525782696
115810a51808
122755910660
1313772b331a
14924513156
155426ae4b6
hex3263310a8

13525782696 has 96 divisors (see below), whose sum is σ = 37063901160. Its totient is φ = 4455714816.

The previous prime is 13525782689. The next prime is 13525782713. The reversal of 13525782696 is 69628752531.

13525782696 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 578 + 2 + 69 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9302602500 + 4223180196 = 96450^2 + 64986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3032500 + ... + 3036956.

Almost surely, 213525782696 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 13525782696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531950580).

13525782696 is an abundant number, since it is smaller than the sum of its proper divisors (23538118464).

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

13525782696 is a wasteful number, since it uses less digits than its factorization.

13525782696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4948 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 13525782696 in words is "thirteen billion, five hundred twenty-five million, seven hundred eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 373 452 678 746 904 1017 1119 1356 1492 2034 2238 2712 2984 3357 4068 4457 4476 6714 8136 8914 8952 13371 13428 17828 26742 26856 35656 40113 42149 53484 80226 84298 106968 126447 160452 168596 252894 320904 337192 379341 503641 505788 758682 1007282 1011576 1510923 1517364 1662461 2014564 3021846 3034728 3324922 4029128 4532769 4987383 6043692 6649844 9065538 9974766 12087384 13299688 14962149 18131076 19949532 29924298 36262152 39899064 59848596 119697192 187858093 375716186 563574279 751432372 1127148558 1502864744 1690722837 2254297116 3381445674 4508594232 6762891348 13525782696