Search a number
-
+
264340226450052 = 2232371011964887361
BaseRepresentation
bin111100000110101010000001…
…010011000010001010000100
31021122221200022212210200210100
4330012222001103002022010
5234121422240432400202
62334112120143324100
7106451644143502044
oct7406520123021204
91248850285720710
10264340226450052
117725507354a665
1225792aa6bb0630
13b46623a70245c
14493c1c70b5724
152086168ac441c
hexf06a814c2284

264340226450052 has 72 divisors (see below), whose sum is σ = 693047210775192. Its totient is φ = 84883133952000.

The previous prime is 264340226450051. The next prime is 264340226450149. The reversal of 264340226450052 is 250054622043462.

264340226450052 is a `hidden beast` number, since 2 + 6 + 4 + 34 + 0 + 2 + 2 + 64 + 500 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239678514254916 + 24661712195136 = 15481554^2 + 4966056^2 .

It is not an unprimeable number, because it can be changed into a prime (264340226450051) 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, 982309149 + ... + 982578212.

It is an arithmetic number, because the mean of its divisors is an integer number (9625655705211).

Almost surely, 2264340226450052 is an apocalyptic number.

It is an amenable number.

264340226450052 is an abundant number, since it is smaller than the sum of its proper divisors (428706984325140).

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

264340226450052 is a wasteful number, since it uses less digits than its factorization.

264340226450052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964887509 (or 1964887504 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 264340226450052 in words is "two hundred sixty-four trillion, three hundred forty billion, two hundred twenty-six million, four hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 1964887361 3929774722 5894662083 7859549444 11789324166 17683986249 23578648332 35367972498 70735944996 72700832357 145401664714 198453623461 218102497071 290803329428 396907246922 436204994142 595360870383 654307491213 793814493844 872409988284 1190721740766 1308614982426 1786082611149 2381443481532 2617229964852 3572165222298 7144330444596 7342784068057 14685568136114 22028352204171 29371136272228 44056704408342 66085056612513 88113408816684 132170113225026 264340226450052