Search a number
-
+
16399328000 = 28531146589
BaseRepresentation
bin11110100010111100…
…11110001100000000
31120022220020011211112
433101132132030000
5232041211444000
611311142302452
71120250662616
oct172136361400
946286204745
1016399328000
116a55aa1940
123218127a28
1317147209a3
14b17ddd6b6
1565eac5235
hex3d179e300

16399328000 has 144 divisors (see below), whose sum is σ = 44567621280. Its totient is φ = 5963264000.

The previous prime is 16399327991. The next prime is 16399328027. The reversal of 16399328000 is 82399361.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328706 + ... + 375294.

It is an arithmetic number, because the mean of its divisors is an integer number (309497370).

Almost surely, 216399328000 is an apocalyptic number.

16399328000 is a gapful number since it is divisible by the number (10) 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 16399328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22283810640).

16399328000 is an abundant number, since it is smaller than the sum of its proper divisors (28168293280).

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

16399328000 is an equidigital number, since it uses as much as digits as its factorization.

16399328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46631 (or 46607 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 16399328000 in words is "sixteen billion, three hundred ninety-nine million, three hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2750 2816 3200 3520 4000 4400 5500 6400 7040 8000 8800 11000 14080 16000 17600 22000 32000 35200 44000 46589 70400 88000 93178 176000 186356 232945 352000 372712 465890 512479 745424 931780 1024958 1164725 1490848 1863560 2049916 2329450 2562395 2981696 3727120 4099832 4658900 5124790 5823625 5963392 7454240 8199664 9317800 10249580 11647250 11926784 12811975 14908480 16399328 18635600 20499160 23294500 25623950 29816960 32798656 37271200 40998320 46589000 51247900 59633920 64059875 65597312 74542400 81996640 93178000 102495800 128119750 131194624 149084800 163993280 186356000 204991600 256239500 298169600 327986560 372712000 409983200 512479000 655973120 745424000 819966400 1024958000 1490848000 1639932800 2049916000 3279865600 4099832000 8199664000 16399328000