Search a number
-
+
201156453600 = 25352586914281
BaseRepresentation
bin1011101101010111011…
…0111110010011100000
3201020012221100121121020
42323111312332103200
511243432023003400
6232224320525440
720350562433564
oct2732566762340
9636187317536
10201156453600
1178345634983
1232b9aa80880
1315c79aa784b
149a439176a4
155374c5c2a0
hex2ed5dbe4e0

201156453600 has 144 divisors (see below), whose sum is σ = 654921676080. Its totient is φ = 53628825600.

The previous prime is 201156453583. The next prime is 201156453601. The reversal of 201156453600 is 6354651102.

201156453600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201156453601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14078460 + ... + 14092740.

It is an arithmetic number, because the mean of its divisors is an integer number (4548067195).

Almost surely, 2201156453600 is an apocalyptic number.

201156453600 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 201156453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327460838040).

201156453600 is an abundant number, since it is smaller than the sum of its proper divisors (453765222480).

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

201156453600 is a wasteful number, since it uses less digits than its factorization.

201156453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173 (or 20160 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 201156453600 in words is "two hundred one billion, one hundred fifty-six million, four hundred fifty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5869 11738 14281 17607 23476 28562 29345 35214 42843 46952 57124 58690 70428 71405 85686 88035 93904 114248 117380 140856 142810 146725 171372 176070 187808 214215 228496 234760 281712 285620 293450 342744 352140 357025 428430 440175 456992 469520 563424 571240 586900 685488 704280 714050 856860 880350 939040 1071075 1142480 1173800 1370976 1408560 1428100 1713720 1760700 2142150 2284960 2347600 2817120 2856200 3427440 3521400 4284300 4695200 5712400 6854880 7042800 8568600 11424800 14085600 17137200 34274400 83815189 167630378 251445567 335260756 419075945 502891134 670521512 838151890 1005782268 1257227835 1341043024 1676303780 2011564536 2095379725 2514455670 2682086048 3352607560 4023129072 4190759450 5028911340 6286139175 6705215120 8046258144 8381518900 10057822680 12572278350 13410430240 16763037800 20115645360 25144556700 33526075600 40231290720 50289113400 67052151200 100578226800 201156453600