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13426655662431 = 3311231965547601
BaseRepresentation
bin1100001101100010001100…
…0010101001000101011111
31202112120112201101211222000
43003120203002221011133
53224440242322144211
644320042004053343
72554021021034064
oct303304302510537
952476481354860
1013426655662431
1143072380a8880
12160a213994253
1376518885457b
14345bd43d4c6b
151843d1299656
hexc36230a915f

13426655662431 has 32 divisors (see below), whose sum is σ = 22643108375040. Its totient is φ = 7783568496000.

The previous prime is 13426655662411. The next prime is 13426655662447.

13426655662431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 6 + 5 + 5 + 6 + 624 + 3 + 1 = 666.

13426655662431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13426655662431 - 213 = 13426655654239 is a prime.

It is a super-2 number, since 2×134266556624312 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426655662411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982766970 + ... + 982780631.

It is an arithmetic number, because the mean of its divisors is an integer number (707597136720).

Almost surely, 213426655662431 is an apocalyptic number.

13426655662431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13426655662431 is a deficient number, since it is larger than the sum of its proper divisors (9216452712609).

13426655662431 is a wasteful number, since it uses less digits than its factorization.

13426655662431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965547644 (or 1965547638 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 13426655662431 in words is "thirteen trillion, four hundred twenty-six billion, six hundred fifty-five million, six hundred sixty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 1965547601 5896642803 17689928409 21621023611 45207594823 53069785227 64863070833 135622784469 194589212499 406868353407 497283543053 583767637497 1220605060221 1491850629159 4475551887477 13426655662431