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4991868000 = 25345373171
BaseRepresentation
bin1001010011000100…
…11101110001100000
3110212220002011120000
410221202131301200
540210404234000
62143201020000
7234463115010
oct45142356140
913786064500
104991868000
112131863349
12b73924600
13617272362
14354d85c40
151e339c000
hex12989dc60

4991868000 has 960 divisors, whose sum is σ = 21919113216. Its totient is φ = 1088640000.

The previous prime is 4991867989. The next prime is 4991868001. The reversal of 4991868000 is 8681994.

4991868000 is a `hidden beast` number, since 499 + 1 + 86 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×49918680002 = 49837492258848000000, which contains 22 as substring.

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 (4991868001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70307965 + ... + 70308035.

Almost surely, 24991868000 is an apocalyptic number.

4991868000 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 4991868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959556608).

4991868000 is an abundant number, since it is smaller than the sum of its proper divisors (16927245216).

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

4991868000 is a wasteful number, since it uses less digits than its factorization.

4991868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 4991868000 is about 70653.1527958944. The cubic root of 4991868000 is about 1709.0484086857.

The spelling of 4991868000 in words is "four billion, nine hundred ninety-one million, eight hundred sixty-eight thousand".