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348057864612 = 2232173170126171
BaseRepresentation
bin1010001000010011101…
…11011000100110100100
31020021101202021111110200
411010021313120212210
521200310303131422
6423521235550500
734101125014653
oct5041167304644
91207352244420
10348057864612
11124679655287
1257557a5b430
1326a8b4042a3
1412bbb95b19a
1590c17c12ac
hex5109dd89a4

348057864612 has 144 divisors (see below), whose sum is σ = 963025749504. Its totient is φ = 105517440000.

The previous prime is 348057864611. The next prime is 348057864647. The reversal of 348057864612 is 216468750843.

It is a happy number.

348057864612 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 578 + 6 + 4 + 61 + 2 = 666.

It is a super-2 number, since 2×3480578646122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348057864611) 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 47 ways as a sum of consecutive naturals, for example, 13286287 + ... + 13312457.

It is an arithmetic number, because the mean of its divisors is an integer number (6687678816).

Almost surely, 2348057864612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348057864612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481512874752).

348057864612 is an abundant number, since it is smaller than the sum of its proper divisors (614967884892).

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

348057864612 is a wasteful number, since it uses less digits than its factorization.

348057864612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26930 (or 26925 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 348057864612 in words is "three hundred forty-eight billion, fifty-seven million, eight hundred sixty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 701 1054 1116 1402 1581 2103 2108 2804 3162 4206 4743 6309 6324 8412 9486 11917 12618 18972 21731 23834 25236 26171 35751 43462 47668 52342 65193 71502 78513 86924 104684 107253 130386 143004 157026 195579 214506 235539 260772 314052 369427 391158 429012 444907 471078 738854 782316 811301 889814 942156 1108281 1334721 1477708 1622602 1779628 2216562 2433903 2669442 3245204 3324843 4004163 4433124 4867806 5338884 6649686 7301709 8008326 9735612 13299372 13792117 14603418 16016652 18345871 27584234 29206836 36691742 41376351 55037613 55168468 73383484 82752702 110075226 124129053 165112839 165505404 220150452 248258106 311879807 330225678 496516212 568722001 623759614 660451356 935639421 1137444002 1247519228 1706166003 1871278842 2274888004 2806918263 3412332006 3742557684 5118498009 5613836526 6824664012 9668274017 10236996018 11227673052 19336548034 20473992036 29004822051 38673096068 58009644102 87014466153 116019288204 174028932306 348057864612