Search a number
-
+
213254541450 = 23352299952673
BaseRepresentation
bin1100011010011011110…
…1100001000010001010
3202101110002001011012000
43012212331201002022
511443221130311300
6241545012531430
721256434456666
oct3064675410212
9671402034160
10213254541450
11824936a1395
12353b6620b76
1317157363702
14a4705898a6
155831e05c00
hex31a6f6108a

213254541450 has 96 divisors (see below), whose sum is σ = 587841840000. Its totient is φ = 56847836160.

The previous prime is 213254541421. The next prime is 213254541553. The reversal of 213254541450 is 54145452312.

213254541450 is a `hidden beast` number, since 2 + 1 + 32 + 545 + 41 + 45 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4022314 + ... + 4074986.

It is an arithmetic number, because the mean of its divisors is an integer number (6123352500).

Almost surely, 2213254541450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213254541450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293920920000).

213254541450 is an abundant number, since it is smaller than the sum of its proper divisors (374587298550).

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

213254541450 is a wasteful number, since it uses less digits than its factorization.

213254541450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55693 (or 55682 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 213254541450 its reverse (54145452312), we get a palindrome (267399993762).

The spelling of 213254541450 in words is "two hundred thirteen billion, two hundred fifty-four million, five hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 2999 5998 8997 14995 17994 26991 29990 44985 52673 53982 74975 80973 89970 105346 134955 149950 158019 161946 224925 263365 269910 316038 404865 449850 474057 526730 674775 790095 809730 948114 1316825 1349550 1422171 1580190 2024325 2370285 2633650 2844342 3950475 4048650 4740570 7110855 7900950 11851425 14221710 23702850 35554275 71108550 157966327 315932654 473898981 789831635 947797962 1421696943 1579663270 2369494905 2843393886 3949158175 4265090829 4738989810 7108484715 7898316350 8530181658 11847474525 14216969430 21325454145 23694949050 35542423575 42650908290 71084847150 106627270725 213254541450