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52211022368 = 2531213032
BaseRepresentation
bin110000101000000001…
…001111101000100000
311222202200020202010012
4300220001033220200
51323412010203433
635552503224052
73525560240051
oct605001175040
9158680222105
1052211022368
112016284096a
12a151448028
134c00b6039b
14275423a728
151558a3c848
hexc2804fa20

52211022368 has 54 divisors (see below), whose sum is σ = 106294810167. Its totient is φ = 25244009280.

The previous prime is 52211022359. The next prime is 52211022371. The reversal of 52211022368 is 86322011225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 26105511184 + 26105511184 = 161572^2 + 161572^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161572.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40069205 + ... + 40070507.

Almost surely, 252211022368 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 52211022368

52211022368 is an abundant number, since it is smaller than the sum of its proper divisors (54083787799).

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

52211022368 is an frugal number, since it uses more digits than its factorization.

52211022368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 52211022368 by its sum of digits (32), we get a square (1670752715776 = 12925762).

52211022368 divided by its sum of digits (32) gives a square (1631594449 = 403932).

The spelling of 52211022368 in words is "fifty-two billion, two hundred eleven million, twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1303 1922 2606 3844 5212 7688 10424 15376 20848 30752 40393 41696 80786 161572 323144 646288 1252183 1292576 1697809 2504366 3395618 5008732 6791236 10017464 13582472 20034928 27164944 40069856 52632079 54329888 105264158 210528316 421056632 842113264 1631594449 1684226528 3263188898 6526377796 13052755592 26105511184 52211022368