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5678343727056 = 24347111322314639
BaseRepresentation
bin101001010100001011110…
…1010010010011111010000
3202002211210112111212120000
41102220113222102133100
51221013221443231211
620024332312450000
71124150436206520
oct122502752223720
922084715455500
105678343727056
11189a198aaa820
127786019a9900
1332260897a100
14158b94823680
159ca90445656
hex52a17a927d0

5678343727056 has 1200 divisors, whose sum is σ = 23153769492480. Its totient is φ = 1302159006720.

The previous prime is 5678343727027. The next prime is 5678343727057. The reversal of 5678343727056 is 6507273438765.

5678343727056 is a `hidden beast` number, since 5 + 6 + 7 + 83 + 437 + 2 + 70 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5678343726984 and 5678343727002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5678343727057) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 387884185 + ... + 387898823.

Almost surely, 25678343727056 is an apocalyptic number.

5678343727056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5678343727056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576884746240).

5678343727056 is an abundant number, since it is smaller than the sum of its proper divisors (17475425765424).

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

5678343727056 is a wasteful number, since it uses less digits than its factorization.

5678343727056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14726 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 5678343727056 in words is "five trillion, six hundred seventy-eight billion, three hundred forty-three million, seven hundred twenty-seven thousand, fifty-six".