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4944040640 = 2657112172937
BaseRepresentation
bin1001001101011000…
…00001001011000000
3110202120002021202022
410212230001023000
540111133300030
62134331541012
7233342436440
oct44654011300
913676067668
104944040640
112107866a00
12b5b8ba768
1360a397b46
1434c896120
151de0a0de5
hex126b012c0

4944040640 has 672 divisors, whose sum is σ = 16636959360. Its totient is φ = 1362493440.

The previous prime is 4944040583. The next prime is 4944040679. The reversal of 4944040640 is 460404494.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4944040640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133622702 + ... + 133622738.

It is an arithmetic number, because the mean of its divisors is an integer number (24757380).

Almost surely, 24944040640 is an apocalyptic number.

4944040640 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 4944040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318479680).

4944040640 is an abundant number, since it is smaller than the sum of its proper divisors (11692918720).

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

4944040640 is a wasteful number, since it uses less digits than its factorization.

4944040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4944040640 is about 70313.8723154969. The cubic root of 4944040640 is about 1703.5727215991.

The spelling of 4944040640 in words is "four billion, nine hundred forty-four million, forty thousand, six hundred forty".