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13426505500416 = 28381163215399
BaseRepresentation
bin1100001101100001101000…
…0101110100011100000000
31202112120011020211211101220
43003120122011310130000
53224434440402003131
644320015041355040
72554014215501001
oct303303205643400
952476136754356
1013426505500416
114307170365938
12160a191638a80
137651636c99c8
14345bbc4a71a8
151843c2ed6e96
hexc361a174700

13426505500416 has 72 divisors (see below), whose sum is σ = 35734691126400. Its totient is φ = 4475425913856.

The previous prime is 13426505500379. The next prime is 13426505500423. The reversal of 13426505500416 is 61400550562431.

It is a super-2 number, since 2×134265055004162 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 62225485 + ... + 62440883.

Almost surely, 213426505500416 is an apocalyptic number.

13426505500416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13426505500416 is an abundant number, since it is smaller than the sum of its proper divisors (22308185625984).

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

13426505500416 is an equidigital number, since it uses as much as digits as its factorization.

13426505500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296581 (or 296567 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 13426505500416 in words is "thirteen trillion, four hundred twenty-six billion, five hundred five million, five hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 81163 162326 215399 243489 324652 430798 486978 646197 649304 861596 973956 1292394 1298608 1723192 1947912 2584788 2597216 3446384 3895824 5169576 5194432 6892768 7791648 10339152 10388864 13785536 15583296 20678304 20777728 27571072 31166592 41356608 55142144 62333184 82713216 165426432 17482429037 34964858074 52447287111 69929716148 104894574222 139859432296 209789148444 279718864592 419578296888 559437729184 839156593776 1118875458368 1678313187552 2237750916736 3356626375104 4475501833472 6713252750208 13426505500416