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5165818752 = 27317377761
BaseRepresentation
bin1001100111110100…
…00010001110000000
3111100000101210010110
410303322002032000
541034422200002
62212333231320
7242004510033
oct46372021600
914300353113
105165818752
112210a740a6
121002032540
136443089b3
1437010701a
152037ace6c
hex133e82380

5165818752 has 64 divisors (see below), whose sum is σ = 13801199760. Its totient is φ = 1711964160.

The previous prime is 5165818709. The next prime is 5165818783. The reversal of 5165818752 is 2578185615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 27552 + ... + 105312.

Almost surely, 25165818752 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 5165818752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900599880).

5165818752 is an abundant number, since it is smaller than the sum of its proper divisors (8635381008).

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

5165818752 is a wasteful number, since it uses less digits than its factorization.

5165818752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77951 (or 77939 counting only the distinct ones).

The product of its digits is 672000, while the sum is 48.

The square root of 5165818752 is about 71873.6304356473. The cubic root of 5165818752 is about 1728.6738198626.

The spelling of 5165818752 in words is "five billion, one hundred sixty-five million, eight hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 66432 77761 155522 233283 311044 466566 622088 933132 1244176 1866264 2488352 3732528 4976704 7465056 9953408 13452653 14930112 26905306 29860224 40357959 53810612 80715918 107621224 161431836 215242448 322863672 430484896 645727344 860969792 1291454688 1721939584 2582909376 5165818752