Search a number
-
+
264332121001011 = 37733152164509
BaseRepresentation
bin111100000110100010011110…
…001011001100110000110011
31021122220220101222222020000000
4330012202132023030300303
5234121304140434013021
62334104255555401043
7106451236242353220
oct7406423613146063
91248826358866000
10264332121001011
11772516941a9848
12257914045b3183
13b46554838b56b
14493ba587dc947
152085d421e9b26
hexf0689e2ccc33

264332121001011 has 64 divisors (see below), whose sum is σ = 454440518476800. Its totient is φ = 150590588274720.

The previous prime is 264332121001007. The next prime is 264332121001021. The reversal of 264332121001011 is 110100121233462.

264332121001011 is a `hidden beast` number, since 2 + 6 + 433 + 2 + 1 + 210 + 0 + 1 + 0 + 11 = 666.

It is not a de Polignac number, because 264332121001011 - 22 = 264332121001007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (264332121001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21014976 + ... + 31149533.

It is an arithmetic number, because the mean of its divisors is an integer number (7100633101200).

Almost surely, 2264332121001011 is an apocalyptic number.

264332121001011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

264332121001011 is a deficient number, since it is larger than the sum of its proper divisors (190108397475789).

264332121001011 is an frugal number, since it uses more digits than its factorization.

264332121001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52164868 (or 52164850 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 264332121001011 its reverse (110100121233462), we get a palindrome (374432242234473).

The spelling of 264332121001011 in words is "two hundred sixty-four trillion, three hundred thirty-two billion, one hundred twenty-one million, one thousand, eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 331 567 729 993 1701 2187 2317 2979 5103 6951 8937 15309 20853 26811 62559 80433 187677 241299 563031 723897 1689093 5067279 52164509 156493527 365151563 469480581 1095454689 1408441743 3286364067 4225325229 9859092201 12675975687 17266452479 29577276603 38027927061 51799357437 88731829809 114083781183 120865167353 155398072311 266195489427 362595502059 466194216933 798586468281 1087786506177 1398582650799 3263359518531 4195747952397 9790078555593 12587243857191 29370235666779 37761731571573 88110707000337 264332121001011