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4844402640 = 2434572111973
BaseRepresentation
bin1001000001011111…
…11011011111010000
3110111121121011010000
410200233323133100
534410131341030
62120412210000
7231022512600
oct44057733720
913447534100
104844402640
1120665a2450
12b32469900
135c285004c
1433d55ac00
151d546d860
hex120bfb7d0

4844402640 has 1200 divisors, whose sum is σ = 22783273920. Its totient is φ = 940584960.

The previous prime is 4844402593. The next prime is 4844402743. The reversal of 4844402640 is 462044484.

4844402640 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 4 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4844402595 and 4844402604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66361644 + ... + 66361716.

Almost surely, 24844402640 is an apocalyptic number.

4844402640 is a gapful number since it is divisible by the number (40) 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 4844402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391636960).

4844402640 is an abundant number, since it is smaller than the sum of its proper divisors (17938871280).

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

4844402640 is a wasteful number, since it uses less digits than its factorization.

4844402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4844402640 is about 69601.7430816212. The cubic root of 4844402640 is about 1692.0508510445.

The spelling of 4844402640 in words is "four billion, eight hundred forty-four million, four hundred two thousand, six hundred forty".