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348375830085 = 325677311631361
BaseRepresentation
bin1010001000111001101…
…00010100111001000101
31020022012220120211002200
411010130310110321011
521201433203030320
6424012555025113
734112035461003
oct5043464247105
91208186524080
10348375830085
1112482208a468
125762643b199
1326b0c25243a
1412c0bc89a73
1590de67d290
hex511cd14e45

348375830085 has 96 divisors (see below), whose sum is σ = 622250598528. Its totient is φ = 180232335360.

The previous prime is 348375830071. The next prime is 348375830119. The reversal of 348375830085 is 580038573843.

348375830085 is a `hidden beast` number, since 3 + 483 + 7 + 5 + 83 + 0 + 0 + 85 = 666.

It is not a de Polignac number, because 348375830085 - 26 = 348375830021 is a prime.

It is a super-2 number, since 2×3483758300852 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 255969805 + ... + 255971165.

It is an arithmetic number, because the mean of its divisors is an integer number (6481777068).

Almost surely, 2348375830085 is an apocalyptic number.

It is an amenable number.

348375830085 is a deficient number, since it is larger than the sum of its proper divisors (273874768443).

348375830085 is a wasteful number, since it uses less digits than its factorization.

348375830085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 348375830085 in words is "three hundred forty-eight billion, three hundred seventy-five million, eight hundred thirty thousand, eighty-five".

Divisors: 1 3 5 9 15 45 67 73 201 219 335 365 603 657 1005 1095 1163 1361 3015 3285 3489 4083 4891 5815 6805 10467 12249 14673 17445 20415 24455 44019 52335 61245 73365 77921 84899 91187 99353 220095 233763 254697 273561 298059 389605 424495 455935 496765 701289 764091 820683 894177 1168815 1273485 1367805 1490295 1582843 3506445 3820455 4103415 4470885 4748529 5688233 6656651 7914215 14245587 17064699 19969953 23742645 28441165 33283255 51194097 59909859 71227935 85323495 99849765 106050481 115547539 255970485 299549295 318151443 346642617 530252405 577737695 954454329 1039927851 1590757215 1733213085 4772271645 5199639255 7741685113 23225055339 38708425565 69675166017 116125276695 348375830085