Search a number
-
+
16306730000 = 245411148243
BaseRepresentation
bin11110010111111010…
…01111010000010000
31120002102222201020222
433023331033100100
5231344010330000
611254033452212
71115044626611
oct171375172020
946072881228
1016306730000
116a087a6670
1231b1111068
1316cb49c382
14b099b7c08
156568d3a85
hex3cbf4f410

16306730000 has 100 divisors (see below), whose sum is σ = 43069625808. Its totient is φ = 5929680000.

The previous prime is 16306729981. The next prime is 16306730017. The reversal of 16306730000 is 3760361.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35879 + ... + 184121.

Almost surely, 216306730000 is an apocalyptic number.

16306730000 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 16306730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21534812904).

16306730000 is an abundant number, since it is smaller than the sum of its proper divisors (26762895808).

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

16306730000 is a wasteful number, since it uses less digits than its factorization.

16306730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148282 (or 148261 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 16306730000 in words is "sixteen billion, three hundred six million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 148243 296486 592972 741215 1185944 1482430 1630673 2371888 2964860 3261346 3706075 5929720 6522692 7412150 8153365 11859440 13045384 14824300 16306730 18530375 26090768 29648600 32613460 37060750 40766825 59297200 65226920 74121500 81533650 92651875 130453840 148243000 163067300 185303750 203834125 296486000 326134600 370607500 407668250 652269200 741215000 815336500 1019170625 1482430000 1630673000 2038341250 3261346000 4076682500 8153365000 16306730000