Search a number
-
+
52411321644 = 223116712746663
BaseRepresentation
bin110000110011111101…
…010100110100101100
312000021122011000001220
4300303331110310230
51324314244243034
640024420303340
73533541612003
oct606375246454
9160248130056
1052411321644
1120255908760
12a1a8541b50
134c334c0976
142772a99c3a
15156b405749
hexc33f54d2c

52411321644 has 96 divisors (see below), whose sum is σ = 136470921216. Its totient is φ = 15521647680.

The previous prime is 52411321607. The next prime is 52411321661. The reversal of 52411321644 is 44612311425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099857 + ... + 1146519.

It is an arithmetic number, because the mean of its divisors is an integer number (1421572096).

Almost surely, 252411321644 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 52411321644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68235460608).

52411321644 is an abundant number, since it is smaller than the sum of its proper divisors (84059599572).

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

52411321644 is a wasteful number, since it uses less digits than its factorization.

52411321644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46875 (or 46873 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The spelling of 52411321644 in words is "fifty-two billion, four hundred eleven million, three hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 127 132 134 201 254 268 381 402 508 737 762 804 1397 1474 1524 2211 2794 2948 4191 4422 5588 8382 8509 8844 16764 17018 25527 34036 46663 51054 93326 93599 102108 139989 186652 187198 279978 280797 374396 513293 559956 561594 1026586 1123188 1539879 2053172 3079758 3126421 5926201 6159516 6252842 9379263 11852402 12505684 17778603 18758526 23704804 34390631 35557206 37517052 65188211 68781262 71114412 103171893 130376422 137562524 195564633 206343786 260752844 391129266 397055467 412687572 782258532 794110934 1191166401 1588221868 2382332802 4367610137 4764665604 8735220274 13102830411 17470440548 26205660822 52411321644