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54663772678164 = 2232131737667927803
BaseRepresentation
bin11000110110111011001101…
…10000001010100000010100
321011112210202022020201211100
430123131212300022200110
524131102401301200124
6312132105051310100
714341220150203536
oct1433354660124024
9234483668221740
1054663772678164
1116465859660251
12616a256a4b330
132466a053c5520
14d6da5273d856
1564bde450b1c9
hex31b766c0a814

54663772678164 has 288 divisors, whose sum is σ = 161848721099520. Its totient is φ = 15399528689664.

The previous prime is 54663772678159. The next prime is 54663772678259. The reversal of 54663772678164 is 46187627736645.

54663772678164 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 377 + 26 + 78 + 164 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54663772678092 and 54663772678101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966096687 + ... + 1966124489.

It is an arithmetic number, because the mean of its divisors is an integer number (561974726040).

Almost surely, 254663772678164 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 54663772678164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80924360549760).

54663772678164 is an abundant number, since it is smaller than the sum of its proper divisors (107184948421356).

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

54663772678164 is a wasteful number, since it uses less digits than its factorization.

54663772678164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34559 (or 34554 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 54663772678164 in words is "fifty-four trillion, six hundred sixty-three billion, seven hundred seventy-two million, six hundred seventy-eight thousand, one hundred sixty-four".