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6812061465810 = 2352343336376269
BaseRepresentation
bin110001100100000111010…
…0000001111110011010010
3220010020010021110020110210
41203020032200033303102
51343102100213401220
622253230130304550
71302104143040436
oct143101640176322
926106107406423
106812061465810
112196a8511aa07
12920281728156
133a54b4112193
141979c3db29c6
15bc2e60dc6e0
hex6320e80fcd2

6812061465810 has 128 divisors (see below), whose sum is σ = 17106600107520. Its totient is φ = 1732803342336.

The previous prime is 6812061465799. The next prime is 6812061465817. The reversal of 6812061465810 is 185641602186.

It is a super-2 number, since 2×68120614658102 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6812061465810.

It is not an unprimeable number, because it can be changed into a prime (6812061465817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1086623356 + ... + 1086629624.

It is an arithmetic number, because the mean of its divisors is an integer number (133645313340).

Almost surely, 26812061465810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812061465810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553300053760).

6812061465810 is an abundant number, since it is smaller than the sum of its proper divisors (10294538641710).

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

6812061465810 is a wasteful number, since it uses less digits than its factorization.

6812061465810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372.

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 6812061465810 in words is "six trillion, eight hundred twelve billion, sixty-one million, four hundred sixty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 433 690 866 1299 2165 2598 3637 4330 6269 6495 7274 9959 10911 12538 12990 18185 18807 19918 21822 29877 31345 36370 37614 49795 54555 59754 62690 83651 94035 99590 109110 144187 149385 167302 188070 250953 288374 298770 418255 432561 501906 720935 836510 865122 1254765 1441870 1574821 2162805 2509530 2714477 3149642 4325610 4724463 5428954 7874105 8143431 9448926 13572385 15748210 16286862 22800353 23622315 27144770 36220883 40717155 45600706 47244630 62432971 68401059 72441766 81434310 108662649 114001765 124865942 136802118 181104415 187298913 217325298 228003530 312164855 342005295 362208830 374597826 524408119 543313245 624329710 684010590 936494565 1048816238 1086626490 1573224357 1872989130 2622040595 3146448714 5244081190 7866121785 9872552849 15732243570 19745105698 29617658547 49362764245 59235317094 98725528490 148088292735 227068715527 296176585470 454137431054 681206146581 1135343577635 1362412293162 2270687155270 3406030732905 6812061465810