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13412524542354 = 2327611801968939
BaseRepresentation
bin1100001100101101100011…
…0000101100100110010010
31202111020001220012120110100
43003023120300230212102
53224222322240323404
644305343445113230
72553010601351220
oct303133060544622
952436056176410
1013412524542354
114301246493143
12160752b3b8816
13763a46027162
14345253749b10
15183d558b5d39
hexc32d8c2c992

13412524542354 has 96 divisors (see below), whose sum is σ = 33775201998720. Its totient is φ = 3767230944000.

The previous prime is 13412524542349. The next prime is 13412524542383. The reversal of 13412524542354 is 45324542521431.

13412524542354 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 52 + 4 + 542 + 3 + 54 = 666.

It is a super-2 number, since 2×134125245423542 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13358017 + ... + 14326955.

It is an arithmetic number, because the mean of its divisors is an integer number (351825020820).

Almost surely, 213412524542354 is an apocalyptic number.

13412524542354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412524542354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887600999360).

13412524542354 is an abundant number, since it is smaller than the sum of its proper divisors (20362677456366).

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

13412524542354 is a wasteful number, since it uses less digits than its factorization.

13412524542354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970816 (or 970813 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 13412524542354 in words is "thirteen trillion, four hundred twelve billion, five hundred twenty-four million, five hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1801 2562 3602 3843 5403 7686 10806 12607 16209 25214 32418 37821 75642 109861 113463 219722 226926 329583 659166 769027 968939 988749 1538054 1937878 1977498 2307081 2906817 4614162 5813634 6782573 6921243 8720451 13565146 13842486 17440902 20347719 40695438 59105279 61043157 118210558 122086314 177315837 354631674 413736953 531947511 827473906 1063895022 1241210859 1745059139 2482421718 3490118278 3723632577 5235177417 7447265154 10470354834 12215413973 15705532251 24430827946 31411064502 36646241919 73292483838 106448607479 109938725757 212897214958 219877451514 319345822437 638691644874 745140252353 958037467311 1490280504706 1916074934622 2235420757059 4470841514118 6706262271177 13412524542354