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6105468666 = 23115367109239
BaseRepresentation
bin1011010111110101…
…00000111011111010
3120202111111221111010
411223322200323322
5100000444444131
62445501214350
7304204425123
oct55372407372
916674457433
106105468666
112653417a80
1212248613b6
13763ba576b
1441cc2504a
1525b01cb46
hex16bea0efa

6105468666 has 128 divisors (see below), whose sum is σ = 13959475200. Its totient is φ = 1764322560.

The previous prime is 6105468659. The next prime is 6105468667. The reversal of 6105468666 is 6668645016.

It is not an unprimeable number, because it can be changed into a prime (6105468667) 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, 25545775 + ... + 25546013.

It is an arithmetic number, because the mean of its divisors is an integer number (109058400).

Almost surely, 26105468666 is an apocalyptic number.

6105468666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105468666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979737600).

6105468666 is an abundant number, since it is smaller than the sum of its proper divisors (7854006534).

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

6105468666 is a wasteful number, since it uses less digits than its factorization.

6105468666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 6105468666 is about 78137.4984626460. The cubic root of 6105468666 is about 1827.7059917276.

The spelling of 6105468666 in words is "six billion, one hundred five million, four hundred sixty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 53 66 67 106 109 134 159 201 218 239 318 327 402 478 583 654 717 737 1166 1199 1434 1474 1749 2211 2398 2629 3498 3551 3597 4422 5258 5777 7102 7194 7303 7887 10653 11554 12667 14606 15774 16013 17331 21306 21909 25334 26051 32026 34662 38001 39061 43818 48039 52102 63547 76002 78122 78153 80333 96078 117183 127094 139337 156306 160666 176143 190641 234366 240999 278674 286561 352286 381282 387059 418011 481998 528429 573122 774118 836022 848689 859683 1056858 1161177 1380703 1697378 1719366 1745417 2322354 2546067 2761406 3490834 4142109 4257649 5092134 5236251 8284218 8515298 9335579 10472502 12772947 15187733 18671158 19199587 25545894 28006737 30375466 38399174 45563199 56013474 57598761 91126398 92507101 115197522 185014202 277521303 555042606 1017578111 2035156222 3052734333 6105468666