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317018163072 = 27313557114013
BaseRepresentation
bin1001001110011111100…
…00010100011110000000
31010022021112121021201010
410213033300110132000
520143223122204242
6401345223240520
731622001632202
oct4471760243600
91108245537633
10317018163072
111124a0541086
12515348a9140
1323b828112a0
14114b53cc772
1583a677289c
hex49cfc14780

317018163072 has 128 divisors (see below), whose sum is σ = 908490915360. Its totient is φ = 97368072192.

The previous prime is 317018163047. The next prime is 317018163083. The reversal of 317018163072 is 270361810713.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 317018163072.

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 15 ways as a sum of consecutive naturals, for example, 2723538 + ... + 2837550.

Almost surely, 2317018163072 is an apocalyptic number.

317018163072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317018163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454245457680).

317018163072 is an abundant number, since it is smaller than the sum of its proper divisors (591472752288).

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

317018163072 is a wasteful number, since it uses less digits than its factorization.

317018163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114600 (or 114588 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

Adding to 317018163072 its reverse (270361810713), we get a palindrome (587379973785).

The spelling of 317018163072 in words is "three hundred seventeen billion, eighteen million, one hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 557 624 832 1114 1248 1664 1671 2228 2496 3342 4456 4992 6684 7241 8912 13368 14482 17824 21723 26736 28964 35648 43446 53472 57928 71296 86892 106944 114013 115856 173784 213888 228026 231712 342039 347568 456052 463424 684078 695136 912104 926848 1368156 1390272 1482169 1824208 2736312 2780544 2964338 3648416 4446507 5472624 5928676 7296832 8893014 10945248 11857352 14593664 17786028 21890496 23714704 35572056 43780992 47429408 63505241 71144112 94858816 127010482 142288224 189717632 190515723 254020964 284576448 381031446 508041928 569152896 762062892 825568133 1016083856 1524125784 1651136266 2032167712 2476704399 3048251568 3302272532 4064335424 4953408798 6096503136 6604545064 8128670848 9906817596 12193006272 13209090128 19813635192 24386012544 26418180256 39627270384 52836360512 79254540768 105672721024 158509081536 317018163072