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4971386880 = 21133517981
BaseRepresentation
bin1001010000101000…
…10101100000000000
3110211110112121202000
410220110111200000
540140133340010
62141150024000
7234124043205
oct45024254000
913743477660
104971386880
1121212445a9
12b68aa8000
13612c50c55
14352373cac
151e16a37c0
hex128515800

4971386880 has 192 divisors, whose sum is σ = 17672709600. Its totient is φ = 1325629440.

The previous prime is 4971386873. The next prime is 4971386887. The reversal of 4971386880 is 886831794.

4971386880 is a `hidden beast` number, since 497 + 13 + 8 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4971386873) and next prime (4971386887).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×49713868802 = 49429375021272268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971386887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267490 + ... + 285470.

Almost surely, 24971386880 is an apocalyptic number.

4971386880 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 4971386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836354800).

4971386880 is an abundant number, since it is smaller than the sum of its proper divisors (12701322720).

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

4971386880 is a wasteful number, since it uses less digits than its factorization.

4971386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18017 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4971386880 is about 70508.0625177008. The cubic root of 4971386880 is about 1706.7078549087.

The spelling of 4971386880 in words is "four billion, nine hundred seventy-one million, three hundred eighty-six thousand, eight hundred eighty".