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4991055840 = 253351767961
BaseRepresentation
bin1001010010111110…
…10111011111100000
3110212211112220111000
410221133113133200
540210202241330
62143131352000
7234453163131
oct45137273740
913784486430
104991055840
112131359141
12b735b2600
136170497a4
14354c13c88
151e328b560
hex1297d77e0

4991055840 has 192 divisors, whose sum is σ = 18496537920. Its totient is φ = 1252638720.

The previous prime is 4991055803. The next prime is 4991055841. The reversal of 4991055840 is 485501994.

4991055840 is a `hidden beast` number, since 4 + 9 + 91 + 0 + 558 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991055841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39460 + ... + 107420.

It is an arithmetic number, because the mean of its divisors is an integer number (96336135).

Almost surely, 24991055840 is an apocalyptic number.

4991055840 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 4991055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248268960).

4991055840 is an abundant number, since it is smaller than the sum of its proper divisors (13505482080).

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

4991055840 is a wasteful number, since it uses less digits than its factorization.

4991055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68002 (or 67988 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4991055840 is about 70647.4050478855. The cubic root of 4991055840 is about 1708.9557181980.

The spelling of 4991055840 in words is "four billion, nine hundred ninety-one million, fifty-five thousand, eight hundred forty".