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63428119776 = 253274293163
BaseRepresentation
bin111011000100100111…
…000100110011100000
320001201102012100000100
4323010213010303200
52014400044313101
645045524422400
74403544060000
oct730447046340
9201642170010
1063428119776
112499957a1aa
1210361b47a00
135c9aa4a228
1430d9ca0000
1519b36b1e86
hexec49c4ce0

63428119776 has 360 divisors, whose sum is σ = 217748283480. Its totient is φ = 17491880448.

The previous prime is 63428119721. The next prime is 63428119801. The reversal of 63428119776 is 67791182436.

63428119776 is a `hidden beast` number, since 63 + 428 + 1 + 1 + 97 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20051571 + ... + 20054733.

It is an arithmetic number, because the mean of its divisors is an integer number (604856343).

Almost surely, 263428119776 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 63428119776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108874141740).

63428119776 is an abundant number, since it is smaller than the sum of its proper divisors (154320163704).

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

63428119776 is a wasteful number, since it uses less digits than its factorization.

63428119776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3204 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 63428119776 in words is "sixty-three billion, four hundred twenty-eight million, one hundred nineteen thousand, seven hundred seventy-six".