Search a number
-
+
348663202366842 = 2321117411792515453
BaseRepresentation
bin100111101000110110111101…
…0010100101100010101111010
31200201111212200001111221201200
41033101231322110230111322
5331144444214301214332
63233313355224555030
7133304041120624266
oct11721557224542572
91621455601457650
10348663202366842
11a1105263117a50
1233131321022a76
1311c71a5026801c
14621556372b0a6
152a497e3ccb17c
hex13d1b7a52c57a

348663202366842 has 96 divisors (see below), whose sum is σ = 872611797545280. Its totient is φ = 99438031157760.

The previous prime is 348663202366769. The next prime is 348663202366867. The reversal of 348663202366842 is 248663202366843.

348663202366842 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 63 + 202 + 366 + 8 + 4 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 348663202366842.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137350788 + ... + 139866240.

It is an arithmetic number, because the mean of its divisors is an integer number (9089706224430).

Almost surely, 2348663202366842 is an apocalyptic number.

348663202366842 is an abundant number, since it is smaller than the sum of its proper divisors (523948595178438).

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

348663202366842 is a wasteful number, since it uses less digits than its factorization.

348663202366842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556668 (or 2556665 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 63.

Subtracting from 348663202366842 its reverse (248663202366843), we obtain a palindrome (99999999999999).

The spelling of 348663202366842 in words is "three hundred forty-eight trillion, six hundred sixty-three billion, two hundred two million, three hundred sixty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 41179 82358 123537 247074 370611 452969 700043 741222 905938 1358907 1400086 2100129 2515453 2717814 4076721 4200258 5030906 6300387 7546359 7700473 8153442 12600774 15092718 15400946 22639077 23101419 27669983 42762701 45278154 46202838 55339966 69304257 83009949 85525402 128288103 138608514 166019898 249029847 256576206 384864309 470389711 498059694 769728618 940779422 1411169133 2822338266 4233507399 8467014798 103583839087 207167678174 310751517261 621503034522 932254551783 1139422229957 1760925264479 1864509103566 2278844459914 3418266689871 3521850528958 5282775793437 6836533379742 10254800069613 10565551586874 15848327380311 19370177909269 20509600139226 31696654760622 38740355818538 58110533727807 116221067455614 174331601183421 348663202366842