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13522816860 = 22357109295387
BaseRepresentation
bin11001001100000010…
…11100111101011100
31021220102120021100220
430212001130331130
5210143320114420
610113504521340
7656052022020
oct144601347534
937812507326
1013522816860
11580a306503
122754920250
1313767b53a7
14923d80380
155422c5840
hex32605cf5c

13522816860 has 96 divisors (see below), whose sum is σ = 43670161920. Its totient is φ = 3062562048.

The previous prime is 13522816847. The next prime is 13522816883. The reversal of 13522816860 is 6861822531.

13522816860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 101914 + ... + 193473.

It is an arithmetic number, because the mean of its divisors is an integer number (454897520).

Almost surely, 213522816860 is an apocalyptic number.

13522816860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13522816860 is an abundant number, since it is smaller than the sum of its proper divisors (30147345060).

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

13522816860 is a wasteful number, since it uses less digits than its factorization.

13522816860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295515 (or 295513 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 13522816860 in words is "thirteen billion, five hundred twenty-two million, eight hundred sixteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 3052 3270 3815 4578 6540 7630 9156 11445 15260 22890 45780 295387 590774 886161 1181548 1476935 1772322 2067709 2953870 3544644 4135418 4430805 5907740 6203127 8270836 8861610 10338545 12406254 17723220 20677090 24812508 31015635 32197183 41354180 62031270 64394366 96591549 124062540 128788732 160985915 193183098 225380281 321971830 386366196 450760562 482957745 643943660 676140843 901521124 965915490 1126901405 1352281686 1931830980 2253802810 2704563372 3380704215 4507605620 6761408430 13522816860