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13352340355360 = 255809237743397
BaseRepresentation
bin1100001001001101010110…
…0000001111100100100000
31202021110201120001002122121
43002103111200033210200
53222231043112332420
644221551441114024
72545450304246206
oct302232540174440
952243646032577
1013352340355360
114288772043726
1215b7933928914
1375b17438b3a6
1434238462d076
151824d1dce2aa
hexc24d580f920

13352340355360 has 96 divisors (see below), whose sum is σ = 31597911943920. Its totient is φ = 5331967229952.

The previous prime is 13352340355219. The next prime is 13352340355369. The reversal of 13352340355360 is 6355304325331.

It can be written as a sum of positive squares in 8 ways, for example, as 10830075464464 + 2522264890896 = 3290908^2 + 1588164^2 .

It is a super-2 number, since 2×133523403553602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13352340355369) by changing a digit.

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, 307657182 + ... + 307700578.

Almost surely, 213352340355360 is an apocalyptic number.

13352340355360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13352340355360 is an abundant number, since it is smaller than the sum of its proper divisors (18245571588560).

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

13352340355360 is a wasteful number, since it uses less digits than its factorization.

13352340355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46598 (or 46590 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 43.

The spelling of 13352340355360 in words is "thirteen trillion, three hundred fifty-two billion, three hundred forty million, three hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 809 1618 2377 3236 4045 4754 6472 8090 9508 11885 12944 16180 19016 23770 25888 32360 38032 43397 47540 64720 76064 86794 95080 129440 173588 190160 216985 347176 380320 433970 694352 867940 1388704 1735880 1922993 3471760 3845986 6943520 7691972 9614965 15383944 19229930 30767888 35108173 38459860 61535776 70216346 76919720 103154669 140432692 153839440 175540865 206309338 280865384 307678880 351081730 412618676 515773345 561730768 702163460 825237352 1031546690 1123461536 1404326920 1650474704 2063093380 2808653840 3300949408 4126186760 5617307680 8252373520 16504747040 83452127221 166904254442 333808508884 417260636105 667617017768 834521272210 1335234035536 1669042544420 2670468071072 3338085088840 6676170177680 13352340355360