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5223165984 = 25339762323
BaseRepresentation
bin1001101110101001…
…10011000000100000
3111111000022022202000
410313110303000200
541144112302414
62222142324000
7243302115111
oct46724630040
914430268660
105223165984
112240382a03
121019289600
1365316737a
14377994208
15208839b09
hex137533020

5223165984 has 96 divisors (see below), whose sum is σ = 15391535040. Its totient is φ = 1723078656.

The previous prime is 5223165973. The next prime is 5223166009. The reversal of 5223165984 is 4895613225.

5223165984 is a `hidden beast` number, since 5 + 22 + 31 + 6 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 52647 + ... + 114969.

It is an arithmetic number, because the mean of its divisors is an integer number (160328490).

Almost surely, 25223165984 is an apocalyptic number.

5223165984 is a gapful number since it is divisible by the number (54) 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 5223165984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695767520).

5223165984 is an abundant number, since it is smaller than the sum of its proper divisors (10168369056).

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

5223165984 is a wasteful number, since it uses less digits than its factorization.

5223165984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62439 (or 62425 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5223165984 is about 72271.4742066329. The cubic root of 5223165984 is about 1735.0471279765.

The spelling of 5223165984 in words is "five billion, two hundred twenty-three million, one hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1164 1552 1746 2328 2619 3104 3492 4656 5238 6984 9312 10476 13968 20952 27936 41904 62323 83808 124646 186969 249292 373938 498584 560907 747876 997168 1121814 1495752 1682721 1994336 2243628 2991504 3365442 4487256 5983008 6045331 6730884 8974512 12090662 13461768 17949024 18135993 24181324 26923536 36271986 48362648 53847072 54407979 72543972 96725296 108815958 145087944 163223937 193450592 217631916 290175888 326447874 435263832 580351776 652895748 870527664 1305791496 1741055328 2611582992 5223165984