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354326243607133 = 7241873720186501
BaseRepresentation
bin101000010010000100000000…
…1111000101000001001011101
31201110120020222010200221202121
41100210020001320220021131
5332420240121330412013
63253331121300222541
7134430140425140100
oct12044100170501135
91643506863627677
10354326243607133
11a2998a09282996
12338a697209aa51
1312292a8a80a425
14636d6a5aaa737
152ae6c8aaab58d
hex1424201e2825d

354326243607133 has 24 divisors (see below), whose sum is σ = 422276832815544. Its totient is φ = 296266763520000.

The previous prime is 354326243607131. The next prime is 354326243607137. The reversal of 354326243607133 is 331706342623453.

It can be written as a sum of positive squares in 4 ways, for example, as 10360332250009 + 343965911357124 = 3218747^2 + 18546318^2 .

It is not a de Polignac number, because 354326243607133 - 21 = 354326243607131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354326243607131) 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, 7459383 + ... + 27645883.

It is an arithmetic number, because the mean of its divisors is an integer number (17594868033981).

Almost surely, 2354326243607133 is an apocalyptic number.

It is an amenable number.

354326243607133 is a deficient number, since it is larger than the sum of its proper divisors (67950589208411).

354326243607133 is a wasteful number, since it uses less digits than its factorization.

354326243607133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20195293 (or 20195286 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 52.

The spelling of 354326243607133 in words is "three hundred fifty-four trillion, three hundred twenty-six billion, two hundred forty-three million, six hundred seven thousand, one hundred thirty-three".

Divisors: 1 7 41 49 287 2009 8737 61159 358217 428113 2507519 17552633 20186501 141305507 827646541 989138549 5793525787 40554680509 176369459237 1234586214659 7231147828717 8642103502613 50618034801019 354326243607133