Search a number
-
+
204388852160 = 2654316978753
BaseRepresentation
bin1011111001011010000…
…1100110000111000000
3201112120012200110211102
42332112201212013000
511322042021232120
6233521150233532
720523642402233
oct2762641460700
9645505613742
10204388852160
11797541a6849
12337414b58a8
131637367b00c
149c6cd3741a
1554b3909d75
hex2f968661c0

204388852160 has 112 divisors (see below), whose sum is σ = 498369982176. Its totient is φ = 79798075392.

The previous prime is 204388852127. The next prime is 204388852229. The reversal of 204388852160 is 61258883402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23346344 + ... + 23355096.

Almost surely, 2204388852160 is an apocalyptic number.

204388852160 is a gapful number since it is divisible by the number (20) 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 204388852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249184991088).

204388852160 is an abundant number, since it is smaller than the sum of its proper divisors (293981130016).

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

204388852160 is a wasteful number, since it uses less digits than its factorization.

204388852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 204388852160 in words is "two hundred four billion, three hundred eighty-eight million, eight hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1697 1720 2752 3394 3440 6788 6880 8485 8753 13576 13760 16970 17506 27152 33940 35012 43765 54304 67880 70024 72971 87530 108608 135760 140048 145942 175060 271520 280096 291884 350120 364855 376379 543040 560192 583768 700240 729710 752758 1167536 1400480 1459420 1505516 1881895 2335072 2800960 2918840 3011032 3763790 4670144 5837680 6022064 7527580 11675360 12044128 14853841 15055160 23350720 24088256 29707682 30110320 59415364 60220640 74269205 118830728 120441280 148538410 237661456 297076820 475322912 594153640 638715163 950645824 1188307280 1277430326 2376614560 2554860652 3193575815 4753229120 5109721304 6387151630 10219442608 12774303260 20438885216 25548606520 40877770432 51097213040 102194426080 204388852160