Search a number
-
+
4623320016 = 2432716192833
BaseRepresentation
bin1000100111001001…
…00100001111010000
3102221012120222202200
410103210210033100
533432032220031
62042433443200
7222366400050
oct42344441720
912835528680
104623320016
111a6281a837
12a90410500
13588ac3923
1431c04b560
151c0d4c8e6
hex1139243d0

4623320016 has 120 divisors (see below), whose sum is σ = 14801641920. Its totient is φ = 1319666688.

The previous prime is 4623320003. The next prime is 4623320047. The reversal of 4623320016 is 6100233264.

4623320016 is a `hidden beast` number, since 4 + 623 + 3 + 20 + 0 + 16 = 666.

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, 1630536 + ... + 1633368.

It is an arithmetic number, because the mean of its divisors is an integer number (123347016).

Almost surely, 24623320016 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 4623320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400820960).

4623320016 is an abundant number, since it is smaller than the sum of its proper divisors (10178321904).

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

4623320016 is a wasteful number, since it uses less digits than its factorization.

4623320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4623320016 is about 67994.9999338187. Note that the first 4 decimals coincide. The cubic root of 4623320016 is about 1665.9091688015.

The spelling of 4623320016 in words is "four billion, six hundred twenty-three million, three hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1619 2833 3238 4857 5666 6476 8499 9714 11332 11333 12952 14571 16998 19428 19831 22664 22666 25497 25904 29142 33996 33999 38856 39662 45328 45332 50994 58284 59493 67992 67998 77712 79324 90664 101988 101997 116568 118986 135984 135996 158648 178479 181328 203976 203994 233136 237972 271992 317296 356958 407952 407988 475944 543984 713916 815976 951888 1427832 1631952 2855664 4586627 9173254 13759881 18346508 27519762 32106389 36693016 41279643 55039524 64212778 73386032 82559286 96319167 110079048 128425556 165118572 192638334 220158096 256851112 288957501 330237144 385276668 513702224 577915002 660474288 770553336 1155830004 1541106672 2311660008 4623320016