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55789142814720 = 2123257149521557
BaseRepresentation
bin11001010111101011011000…
…00010100011000000000000
321022112101112021200222021100
430223311230002203000000
524303022131030032340
6314353102311054400
714515426652425020
oct1453655402430000
9238471467628240
1055789142814720
111685a051776347
126310387071400
132518b802c0803
14dac2cd3bda80
1566b30c3e4830
hex32bd6c0a3000

55789142814720 has 1248 divisors, whose sum is σ = 223314784617600. Its totient is φ = 12619213701120.

The previous prime is 55789142814709. The next prime is 55789142814749. The reversal of 55789142814720 is 2741824198755.

55789142814720 is a `hidden beast` number, since 5 + 5 + 7 + 89 + 1 + 4 + 2 + 81 + 472 + 0 = 666.

It is a super-2 number, since 2×557891428147202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 100160040682 + ... + 100160041238.

It is an arithmetic number, because the mean of its divisors is an integer number (178938128700).

Almost surely, 255789142814720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55789142814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111657392308800).

55789142814720 is an abundant number, since it is smaller than the sum of its proper divisors (167525641802880).

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

55789142814720 is a wasteful number, since it uses less digits than its factorization.

55789142814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 55789142814720 in words is "fifty-five trillion, seven hundred eighty-nine billion, one hundred forty-two million, eight hundred fourteen thousand, seven hundred twenty".