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4669384320 = 2734590073
BaseRepresentation
bin1000101100101000…
…10010011010000000
3110001102021022010000
410112110102122000
534030330244240
62051201040000
7223466053236
oct42624223200
913042238100
104669384320
111a86822607
12aa3926000
13595501803
143241dc956
151c4deb430
hex116512680

4669384320 has 160 divisors (see below), whose sum is σ = 16675399620. Its totient is φ = 1245155328.

The previous prime is 4669384309. The next prime is 4669384361. The reversal of 4669384320 is 234839664.

4669384320 is a `hidden beast` number, since 466 + 93 + 84 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4378204224 + 291180096 = 66168^2 + 17064^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6804 + ... + 96876.

Almost surely, 24669384320 is an apocalyptic number.

4669384320 is a gapful number since it is divisible by the number (40) 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 4669384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337699810).

4669384320 is an abundant number, since it is smaller than the sum of its proper divisors (12006015300).

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

4669384320 is an equidigital number, since it uses as much as digits as its factorization.

4669384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90104 (or 90083 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4669384320 is about 68332.8933969578. The cubic root of 4669384320 is about 1671.4236393205.

The spelling of 4669384320 in words is "four billion, six hundred sixty-nine million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 90073 180146 270219 360292 450365 540438 720584 810657 900730 1080876 1351095 1441168 1621314 1801460 2161752 2431971 2702190 2882336 3242628 3602920 4053285 4323504 4863942 5404380 5764672 6485256 7205840 7295913 8106570 8647008 9727884 10808760 11529344 12159855 12970512 14411680 14591826 16213140 17294016 19455768 21617520 24319710 25941024 28823360 29183652 32426280 34588032 36479565 38911536 43235040 48639420 51882048 57646720 58367304 64852560 72959130 77823072 86470080 97278840 103764096 116734608 129705120 145918260 155646144 172940160 194557680 233469216 259410240 291836520 311292288 389115360 466938432 518820480 583673040 778230720 933876864 1167346080 1556461440 2334692160 4669384320