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5291141760 = 273253672503
BaseRepresentation
bin1001110110110000…
…00110101010000000
3111122202012211222100
410323120012222000
541314013014020
62233011310400
7245055651162
oct47330065200
914582184870
105291141760
112275791133
121037bab400
13664277718
14382a0a932
1520e7b5a90
hex13b606a80

5291141760 has 192 divisors, whose sum is σ = 18328078080. Its totient is φ = 1406564352.

The previous prime is 5291141731. The next prime is 5291141773. The reversal of 5291141760 is 671411925.

5291141760 is a `hidden beast` number, since 529 + 114 + 17 + 6 + 0 = 666.

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

It is a super-2 number, since 2×52911417602 = 55992362248831795200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112669 + ... + 2115171.

It is an arithmetic number, because the mean of its divisors is an integer number (95458740).

Almost surely, 25291141760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5291141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164039040).

5291141760 is an abundant number, since it is smaller than the sum of its proper divisors (13036936320).

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

5291141760 is a wasteful number, since it uses less digits than its factorization.

5291141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5291141760 is about 72740.2348085295. The cubic root of 5291141760 is about 1742.5415099067.

The spelling of 5291141760 in words is "five billion, two hundred ninety-one million, one hundred forty-one thousand, seven hundred sixty".