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4845794688 = 2732737109149
BaseRepresentation
bin1001000001101010…
…01111010110000000
3110111201012212122100
410200311033112000
534411010412223
62120502110400
7231040401210
oct44065172600
913451185570
104845794688
1120673632a9
12b32a1b400
135c2c19847
1433d800240
151d5646043
hex120d4f580

4845794688 has 384 divisors, whose sum is σ = 16628040000. Its totient is φ = 1325776896.

The previous prime is 4845794687. The next prime is 4845794711. The reversal of 4845794688 is 8864975484.

4845794688 is a `hidden beast` number, since 484 + 5 + 7 + 94 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845794687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32522038 + ... + 32522186.

Almost surely, 24845794688 is an apocalyptic number.

4845794688 is a gapful number since it is divisible by the number (48) 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 4845794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314020000).

4845794688 is an abundant number, since it is smaller than the sum of its proper divisors (11782245312).

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

4845794688 is a wasteful number, since it uses less digits than its factorization.

4845794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The square root of 4845794688 is about 69611.7424577205. The cubic root of 4845794688 is about 1692.2129068302.

The spelling of 4845794688 in words is "four billion, eight hundred forty-five million, seven hundred ninety-four thousand, six hundred eighty-eight".