Search a number
-
+
243522645552 = 243215126214273
BaseRepresentation
bin1110001011001100010…
…1001010111000110000
3212021120111211011020200
43202303011022320300
512442213244124202
6303512303235200
723410501222314
oct3426305127060
9767514734220
10243522645552
1194306203a5a
123b2432a8b00
1319c6c139694
14bb02463b44
15650433ce1c
hex38b314ae30

243522645552 has 120 divisors (see below), whose sum is σ = 686460953568. Its totient is φ = 80587008000.

The previous prime is 243522645481. The next prime is 243522645557. The reversal of 243522645552 is 255546225342.

It is a happy number.

243522645552 is a `hidden beast` number, since 2 + 4 + 3 + 52 + 2 + 6 + 45 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 243522645498 and 243522645507.

It is not an unprimeable number, because it can be changed into a prime (243522645557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56988888 + ... + 56993160.

Almost surely, 2243522645552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243522645552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343230476784).

243522645552 is an abundant number, since it is smaller than the sum of its proper divisors (442938308016).

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

243522645552 is a wasteful number, since it uses less digits than its factorization.

243522645552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7050 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

The spelling of 243522645552 in words is "two hundred forty-three billion, five hundred twenty-two million, six hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2621 2718 3624 4273 5242 5436 7248 7863 8546 10484 10872 12819 15726 17092 20968 21744 23589 25638 31452 34184 38457 41936 47178 51276 62904 68368 76914 94356 102552 125808 153828 188712 205104 307656 377424 395771 615312 645223 791542 1187313 1290446 1583084 1935669 2374626 2580892 3166168 3561939 3871338 4749252 5161784 5807007 6332336 7123878 7742676 9498504 10323568 11199533 11614014 14247756 15485352 18997008 22399066 23228028 28495512 30970704 33598599 44798132 46456056 56991024 67197198 89596264 92912112 100795797 134394396 179192528 201591594 268788792 403183188 537577584 806366376 1612732752 1691129483 3382258966 5073388449 6764517932 10146776898 13529035864 15220165347 20293553796 27058071728 30440330694 40587107592 60880661388 81174215184 121761322776 243522645552