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13532122352 = 247799715767
BaseRepresentation
bin11001001101001001…
…11100110011110000
31021221002002001002202
430212210330303300
5210203210403402
610114440202332
7656224066520
oct144644746360
937832061082
1013532122352
1158145918a1
122757a693a8
1313786c2ab8
149252c3680
15543012b02
hex32693ccf0

13532122352 has 80 divisors (see below), whose sum is σ = 30658037760. Its totient is φ = 5666678784.

The previous prime is 13532122327. The next prime is 13532122363. The reversal of 13532122352 is 25322123531.

13532122352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850373 + ... + 866139.

It is an arithmetic number, because the mean of its divisors is an integer number (383225472).

Almost surely, 213532122352 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 13532122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329018880).

13532122352 is an abundant number, since it is smaller than the sum of its proper divisors (17125915408).

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

13532122352 is a wasteful number, since it uses less digits than its factorization.

13532122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958 (or 15952 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

Adding to 13532122352 its reverse (25322123531), we get a palindrome (38854245883).

The spelling of 13532122352 in words is "thirteen billion, five hundred thirty-two million, one hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 97 112 158 194 316 388 553 632 679 776 1106 1264 1358 1552 2212 2716 4424 5432 7663 8848 10864 15326 15767 30652 31534 53641 61304 63068 107282 110369 122608 126136 214564 220738 252272 429128 441476 858256 882952 1245593 1529399 1765904 2491186 3058798 4982372 6117596 8719151 9964744 10705793 12235192 17438302 19929488 21411586 24470384 34876604 42823172 69753208 85646344 120822521 139506416 171292688 241645042 483290084 845757647 966580168 1691515294 1933160336 3383030588 6766061176 13532122352