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126551334666666 = 237138318471511921
BaseRepresentation
bin11100110001100100000111…
…010110010100000110101010
3121121002012010002202120011210
4130301210013112110012222
5113041404113133313131
61125052514111133550
735441014022064150
oct3461440726240652
9547065102676153
10126551334666666
1137361135261a08
121223a5b5b142b6
13557c98002c330
14233718db593d0
15e96d55d53146
hex7319075941aa

126551334666666 has 128 divisors (see below), whose sum is σ = 315435020414976. Its totient is φ = 32956179010560.

The previous prime is 126551334666661. The next prime is 126551334666683. The reversal of 126551334666666 is 666666433155621.

It is a junction number, because it is equal to n+sod(n) for n = 126551334666597 and 126551334666606.

It is not an unprimeable number, because it can be changed into a prime (126551334666661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82946386 + ... + 84458306.

It is an arithmetic number, because the mean of its divisors is an integer number (2464336096992).

Almost surely, 2126551334666666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126551334666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157717510207488).

126551334666666 is an abundant number, since it is smaller than the sum of its proper divisors (188883685748310).

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

126551334666666 is a wasteful number, since it uses less digits than its factorization.

126551334666666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513876.

The product of its digits is 503884800, while the sum is 66.

The spelling of 126551334666666 in words is "one hundred twenty-six trillion, five hundred fifty-one billion, three hundred thirty-four million, six hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 1847 2158 3237 3486 3694 5541 6474 7553 11082 12929 15106 22659 24011 25858 38787 45318 48022 72033 77574 144066 153301 168077 306602 336154 459903 504231 919806 1008462 1073107 1511921 1992913 2146214 3023842 3219321 3985826 4535763 5978739 6438642 9071526 10583447 11957478 13950391 19654973 21166894 27900782 31750341 39309946 41851173 58964919 63500682 83702346 117929838 125489443 137584811 250978886 275169622 376468329 412754433 752936658 825508866 878426101 1631362759 1756852202 2635278303 2792518087 3262725518 4894088277 5270556606 5585036174 8377554261 9788176554 11419539313 16755108522 19547626609 22839078626 34258617939 36302735131 39095253218 58642879827 68517235878 72605470262 108908205393 117285759654 217816410786 231779001221 254119145917 463558002442 508238291834 695337003663 762357437751 1390674007326 1524714875502 1622453008547 3013127015873 3244906017094 4867359025641 6026254031746 9039381047619 9734718051282 18078762095238 21091889111111 42183778222222 63275667333333 126551334666666