Search a number
-
+
203885104950 = 2325210910933803
BaseRepresentation
bin1011110111100001111…
…1111100111100110110
3201111021002210110120100
42331320133330330312
511320024041324300
6233355153214530
720505314540412
oct2757037747466
9644232713510
10203885104950
117951591003a
1233620861446
13162c31b3447
149c22087d42
1554845a1700
hex2f787fcf36

203885104950 has 144 divisors (see below), whose sum is σ = 553447992240. Its totient is φ = 53807120640.

The previous prime is 203885104937. The next prime is 203885104993. The reversal of 203885104950 is 59401588302.

203885104950 is a `hidden beast` number, since 2 + 0 + 3 + 88 + 510 + 4 + 9 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 203885104896 and 203885104905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53609749 + ... + 53613551.

It is an arithmetic number, because the mean of its divisors is an integer number (3843388835).

Almost surely, 2203885104950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203885104950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276723996120).

203885104950 is an abundant number, since it is smaller than the sum of its proper divisors (349562887290).

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

203885104950 is a wasteful number, since it uses less digits than its factorization.

203885104950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 203885104950 in words is "two hundred three billion, eight hundred eighty-five million, one hundred four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 218 225 327 450 545 654 981 1090 1093 1635 1962 2186 2725 3270 3279 3803 4905 5450 5465 6558 7606 8175 9810 9837 10930 11409 16350 16395 19015 19674 22818 24525 27325 32790 34227 38030 49050 49185 54650 57045 68454 81975 95075 98370 114090 119137 163950 171135 190150 238274 245925 285225 342270 357411 414527 491850 570450 595685 714822 829054 855675 1072233 1191370 1243581 1711350 1787055 2072635 2144466 2487162 2978425 3574110 3730743 4145270 4156679 5361165 5956850 6217905 7461486 8313358 8935275 10363175 10722330 12435810 12470037 17870550 18653715 20726350 20783395 24940074 26805825 31089525 37307430 37410111 41566790 53611650 62179050 62350185 74820222 93268575 103916975 124700370 186537150 187050555 207833950 311750925 374101110 453078011 623501850 906156022 935252775 1359234033 1870505550 2265390055 2718468066 4077702099 4530780110 6796170165 8155404198 11326950275 13592340330 20388510495 22653900550 33980850825 40777020990 67961701650 101942552475 203885104950