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13525235152 = 24111337197811
BaseRepresentation
bin11001001100010101…
…01011010111010000
31021220121010010122021
430212022223113100
5210144430011102
610114032421224
7656111413312
oct144612532720
937817103567
1013525235152
1158107083a0
1227556a7814
131377151030
1492440d7b2
15542602137
hex3262ab5d0

13525235152 has 160 divisors (see below), whose sum is σ = 31818213504. Its totient is φ = 5486745600.

The previous prime is 13525235137. The next prime is 13525235159. The reversal of 13525235152 is 25153252531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525235159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16676827 + ... + 16677637.

Almost surely, 213525235152 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 13525235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909106752).

13525235152 is an abundant number, since it is smaller than the sum of its proper divisors (18292978352).

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

13525235152 is a wasteful number, since it uses less digits than its factorization.

13525235152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its digits is 45000, while the sum is 34.

Adding to 13525235152 its reverse (25153252531), we get a palindrome (38678487683).

It can be divided in two parts, 135252 and 35152, that multiplied together give a square (4754378304 = 689522).

The spelling of 13525235152 in words is "thirteen billion, five hundred twenty-five million, two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 197 208 286 296 394 407 481 572 592 788 811 814 962 1144 1576 1622 1628 1924 2167 2288 2561 3152 3244 3256 3848 4334 5122 5291 6488 6512 7289 7696 8668 8921 10244 10543 10582 12976 14578 17336 17842 20488 21086 21164 28171 29156 30007 34672 35684 40976 42172 42328 56342 58312 60014 71368 80179 84344 84656 94757 112684 115973 116624 120028 142736 159767 160358 168688 189514 225368 231946 240056 319534 320716 330077 379028 390091 450736 463892 480112 639068 641432 660154 758056 780182 927784 1042327 1278136 1282864 1320308 1516112 1560364 1757437 1855568 2076971 2084654 2556272 2640616 3120728 3514874 4153942 4169308 4291001 5281232 5911379 6241456 7029748 8307884 8338616 8582002 11822758 14059496 16615768 16677232 17164004 22846681 23645516 28118992 33231536 34328008 45693362 47291032 65025169 68656016 76847927 91386724 94582064 130050338 153695854 182773448 260100676 307391708 365546896 520201352 614783416 845327197 1040402704 1229566832 1690654394 3381308788 6762617576 13525235152