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5166747648 = 2123529179
BaseRepresentation
bin1001100111111011…
…00101000000000000
3111100002010222100000
410303331211000000
541040141411043
62212405200000
7242015426136
oct46375450000
914302128300
105166747648
112211548a87
121002400000
1364457273a
143702a9756
152038e32d3
hex133f65000

5166747648 has 312 divisors, whose sum is σ = 16100229600. Its totient is φ = 1653571584.

The previous prime is 5166747637. The next prime is 5166747683. The reversal of 5166747648 is 8467476615.

5166747648 is a `hidden beast` number, since 5 + 166 + 7 + 476 + 4 + 8 = 666.

It is a super-2 number, since 2×51667476482 = 53390562516227063808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5166747594 and 5166747603.

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, 28864423 + ... + 28864601.

It is an arithmetic number, because the mean of its divisors is an integer number (51603300).

Almost surely, 25166747648 is an apocalyptic number.

5166747648 is a gapful number since it is divisible by the number (58) 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 5166747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050114800).

5166747648 is an abundant number, since it is smaller than the sum of its proper divisors (10933481952).

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

5166747648 is an equidigital number, since it uses as much as digits as its factorization.

5166747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5166747648 is about 71880.0921535302. The cubic root of 5166747648 is about 1728.7774279601. Note that the first 3 decimals are identical.

The spelling of 5166747648 in words is "five billion, one hundred sixty-six million, seven hundred forty-seven thousand, six hundred forty-eight".