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4966226694 = 23311131737831
BaseRepresentation
bin1001010000000001…
…01001101100000110
3110211002211110022000
410220000221230012
540132323223234
62140443250130
7234032142012
oct45000515406
913732743260
104966226694
11211933a690
12b67219946
13611b652a0
143517cd542
151e0ed4899
hex128029b06

4966226694 has 128 divisors (see below), whose sum is σ = 13728476160. Its totient is φ = 1307404800.

The previous prime is 4966226689. The next prime is 4966226747.

4966226694 is a `hidden beast` number, since 4 + 9 + 6 + 622 + 6 + 6 + 9 + 4 = 666.

4966226694 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4966226694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112359 + ... + 150189.

It is an arithmetic number, because the mean of its divisors is an integer number (107253720).

Almost surely, 24966226694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966226694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864238080).

4966226694 is an abundant number, since it is smaller than the sum of its proper divisors (8762249466).

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

4966226694 is a wasteful number, since it uses less digits than its factorization.

4966226694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37883 (or 37877 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 4966226694 is about 70471.4601381297. The cubic root of 4966226694 is about 1706.1171425595.

The spelling of 4966226694 in words is "four billion, nine hundred sixty-six million, two hundred twenty-six thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 99 102 117 143 153 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 918 1122 1287 1326 1683 1989 2431 2574 3366 3861 3978 4862 5049 5967 7293 7722 10098 11934 14586 21879 37831 43758 65637 75662 113493 131274 226986 340479 416141 491803 643127 680958 832282 983606 1021437 1248423 1286254 1475409 1929381 2042874 2496846 2950818 3745269 3858762 4426227 5409833 5788143 7074397 7490538 8360651 8852454 10819666 11235807 11576286 13278681 14148794 16229499 16721302 17364429 21223191 22471614 25081953 26557362 32458998 34728858 42446382 48688497 50163906 63669573 75245859 91967161 97376994 127339146 146065491 150491718 183934322 191008719 225737577 275901483 292130982 382017438 451475154 551802966 827704449 1655408898 2483113347 4966226694