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13520212404400 = 2452132600040847
BaseRepresentation
bin1100010010111110101101…
…1101010010100010110000
31202212112000211220202211101
43010233223131102202300
53233003343333420100
644431033321454144
72563542316154542
oct304575335224260
952775024822741
1013520212404400
114342987481839
121624383941354
13770c484bc1a0
1434a54b821692
15186a599e086a
hexc4beb7528b0

13520212404400 has 60 divisors (see below), whose sum is σ = 34980949568992. Its totient is φ = 4992078424320.

The previous prime is 13520212404359. The next prime is 13520212404541. The reversal of 13520212404400 is 440421202531.

13520212404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135202124044002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300015224 + ... + 1300025623.

Almost surely, 213520212404400 is an apocalyptic number.

13520212404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13520212404400 is an abundant number, since it is smaller than the sum of its proper divisors (21460737164592).

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

13520212404400 is a wasteful number, since it uses less digits than its factorization.

13520212404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600040878 (or 2600040867 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 13520212404400 its reverse (440421202531), we get a palindrome (13960633606931).

The spelling of 13520212404400 in words is "thirteen trillion, five hundred twenty billion, two hundred twelve million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2600040847 5200081694 10400163388 13000204235 20800326776 26000408470 33800531011 41600653552 52000816940 65001021175 67601062022 104001633880 130002042350 135202124044 169002655055 208003267760 260004084700 270404248088 338005310110 520008169400 540808496176 676010620220 845013275275 1040016338800 1352021240440 1690026550550 2704042480880 3380053101100 6760106202200 13520212404400