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13325520565032 = 23313109493779367
BaseRepresentation
bin1100000111101001011011…
…1010110111001100101000
31202011220111102212120210220
43001322112322313030220
53221311131231040112
644201354252010040
72543510551633524
oct301722672671450
952156442776726
1013325520565032
114278359a66255
1215b26a9a60920
1375878bb25c80
14340d5c6dad84
1518196259498c
hexc1e96eb7328

13325520565032 has 128 divisors (see below), whose sum is σ = 36213332601600. Its totient is φ = 4061669971968.

The previous prime is 13325520565009. The next prime is 13325520565037. The reversal of 13325520565032 is 23056502552331.

It is a happy number.

It is a super-2 number, since 2×133255205650322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13325520565037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167857813 + ... + 167937179.

It is an arithmetic number, because the mean of its divisors is an integer number (282916660950).

Almost surely, 213325520565032 is an apocalyptic number.

13325520565032 is a gapful number since it is divisible by the number (12) 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 13325520565032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18106666300800).

13325520565032 is an abundant number, since it is smaller than the sum of its proper divisors (22887812036568).

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

13325520565032 is a wasteful number, since it uses less digits than its factorization.

13325520565032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84435 (or 84431 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 13325520565032 in words is "thirteen trillion, three hundred twenty-five billion, five hundred twenty million, five hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1308 1417 2616 2834 4251 4937 5668 8502 9874 11336 14811 17004 19748 29622 34008 39496 59244 64181 79367 118488 128362 158734 192543 238101 256724 317468 385086 476202 513448 538133 634936 770172 952404 1031771 1076266 1540344 1614399 1904808 2063542 2152532 3095313 3228798 4127084 4305064 6190626 6457596 6995729 8254168 8651003 12381252 12915192 13991458 17302006 20987187 24762504 25953009 27982916 34604012 41974374 51906018 55965832 69208024 83948748 103812036 112463039 167897496 207624072 224926078 337389117 391834879 449852156 674778234 783669758 899704312 1175504637 1349556468 1567339516 2351009274 2699112936 3134679032 4702018548 5093853427 9404037096 10187706854 15281560281 20375413708 30563120562 40750827416 42710001811 61126241124 85420003622 122252482248 128130005433 170840007244 256260010866 341680014488 512520021732 555230023543 1025040043464 1110460047086 1665690070629 2220920094172 3331380141258 4441840188344 6662760282516 13325520565032