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60426204400404 = 22321678505677789
BaseRepresentation
bin11011011110101000100100…
…11100101100101100010100
321220221200121002011100112100
431233110102130230230110
530410010331311303104
6332303225353522100
715504435450524313
oct1557242234545424
9256850532140470
1060426204400404
1118287678092367
12693b005713330
1327942220c83ab
1410cc902bda27a
156ebc56c78139
hex36f51272cb14

60426204400404 has 18 divisors (see below), whose sum is σ = 152744016678890. Its totient is φ = 20142068133456.

The previous prime is 60426204400361. The next prime is 60426204400423. The reversal of 60426204400404 is 40400440262406.

60426204400404 is a `hidden beast` number, since 6 + 0 + 4 + 2 + 6 + 204 + 40 + 0 + 404 = 666.

60426204400404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53027815280400 + 7398389120004 = 7282020^2 + 2719998^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×604262044004043 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1678505677789 = 60426204400404 / (6 + 0 + 4 + 2 + 6 + 2 + 0 + 4 + 4 + 0 + 0 + 4 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 839252838859 + ... + 839252838930.

Almost surely, 260426204400404 is an apocalyptic number.

It is an amenable number.

60426204400404 is an abundant number, since it is smaller than the sum of its proper divisors (92317812278486).

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

60426204400404 is a wasteful number, since it uses less digits than its factorization.

60426204400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678505677799 (or 1678505677794 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 60426204400404 in words is "sixty trillion, four hundred twenty-six billion, two hundred four million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1678505677789 3357011355578 5035517033367 6714022711156 10071034066734 15106551100101 20142068133468 30213102200202 60426204400404