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486685143756 = 2232717493123039
BaseRepresentation
bin1110001010100001011…
…00011111001011001100
31201112012220221221012200
413011100230133023030
530433212344100011
61011325143401500
750106340315440
oct7052054371314
91645186857180
10486685143756
11178447091979
127a3a5a53290
1336b81779206
14197acb38820
15c9d6c3a856
hex7150b1f2cc

486685143756 has 144 divisors (see below), whose sum is σ = 1489050501120. Its totient is φ = 130841095680.

The previous prime is 486685143727. The next prime is 486685143779. The reversal of 486685143756 is 657341586684.

486685143756 is a `hidden beast` number, since 4 + 8 + 6 + 68 + 514 + 3 + 7 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 486685143693 and 486685143702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21112885 + ... + 21135923.

It is an arithmetic number, because the mean of its divisors is an integer number (10340628480).

Almost surely, 2486685143756 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 486685143756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744525250560).

486685143756 is an abundant number, since it is smaller than the sum of its proper divisors (1002365357364).

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

486685143756 is a wasteful number, since it uses less digits than its factorization.

486685143756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28004 (or 27999 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 486685143756 in words is "four hundred eighty-six billion, six hundred eighty-five million, one hundred forty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 4931 9862 14793 19724 23039 29586 34517 44379 46078 59172 69034 69117 83827 88758 92156 103551 138068 138234 161273 167654 177516 207102 207351 251481 276468 310653 322546 335308 391663 414204 414702 483819 502962 586789 621306 645092 754443 783326 829404 967638 1005924 1173578 1174989 1242612 1451457 1508886 1566652 1760367 1935276 2347156 2349978 2741641 2902914 3017772 3520734 3524967 4699956 5281101 5483282 5805828 7041468 7049934 8224923 10562202 10966564 14099868 16449846 21124404 24674769 32899692 49349538 98699076 113605309 227210618 340815927 454421236 681631854 795237163 1022447781 1363263708 1590474326 1931290253 2044895562 2385711489 3180948652 3862580506 4089791124 4771422978 5793870759 7157134467 7725161012 9542845956 11587741518 13519031771 14314268934 17381612277 23175483036 27038063542 28628537868 34763224554 40557095313 54076127084 69526449108 81114190626 121671285939 162228381252 243342571878 486685143756