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4997946240 = 2735574591
BaseRepresentation
bin1001010011110011…
…01001101110000000
3110220022111222100000
410221321221232000
540213433234430
62143535200000
7234565561560
oct45171515600
913808458300
104997946240
112135234a91
12b75976000
136185bcb51
14355ac8da0
151e3b9ce60
hex129e69b80

4997946240 has 384 divisors, whose sum is σ = 20459013120. Its totient is φ = 1142138880.

The previous prime is 4997946223. The next prime is 4997946277. The reversal of 4997946240 is 426497994.

4997946240 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 9 + 4 + 624 + 0 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086345 + ... + 1090935.

It is an arithmetic number, because the mean of its divisors is an integer number (53278680).

Almost surely, 24997946240 is an apocalyptic number.

4997946240 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 4997946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229506560).

4997946240 is an abundant number, since it is smaller than the sum of its proper divisors (15461066880).

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

4997946240 is an equidigital number, since it uses as much as digits as its factorization.

4997946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4997946240 is about 70696.1543508556. The cubic root of 4997946240 is about 1709.7417892669.

The spelling of 4997946240 in words is "four billion, nine hundred ninety-seven million, nine hundred forty-six thousand, two hundred forty".