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4664140110 = 2335719912401
BaseRepresentation
bin1000101100000000…
…10010000101001110
3110001001101212102000
410112000102011032
534023004440420
62050452413130
7223403352060
oct42600220516
913031355360
104664140110
111a83870553
12aa20171a6
135943b6826
14323635730
151c4712690
hex11601214e

4664140110 has 128 divisors (see below), whose sum is σ = 14287104000. Its totient is φ = 1060646400.

The previous prime is 4664140109. The next prime is 4664140133. The reversal of 4664140110 is 110414664.

4664140110 is a `hidden beast` number, since 4 + 6 + 641 + 4 + 0 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 369910 + ... + 382310.

It is an arithmetic number, because the mean of its divisors is an integer number (111618000).

Almost surely, 24664140110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143552000).

4664140110 is an abundant number, since it is smaller than the sum of its proper divisors (9622963890).

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

4664140110 is a wasteful number, since it uses less digits than its factorization.

4664140110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4664140110 is about 68294.5101014716. The cubic root of 4664140110 is about 1670.7976767051.

Adding to 4664140110 its reverse (110414664), we get a palindrome (4774554774).

The spelling of 4664140110 in words is "four billion, six hundred sixty-four million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 199 210 270 315 378 398 597 630 945 995 1194 1393 1791 1890 1990 2786 2985 3582 4179 5373 5970 6965 8358 8955 10746 12401 12537 13930 17910 20895 24802 25074 26865 37203 37611 41790 53730 62005 62685 74406 75222 86807 111609 124010 125370 173614 186015 188055 223218 260421 334827 372030 376110 434035 520842 558045 669654 781263 868070 1116090 1302105 1562526 1674135 2343789 2467799 2604210 3348270 3906315 4687578 4935598 7403397 7812630 11718945 12338995 14806794 17274593 22210191 23437890 24677990 34549186 37016985 44420382 51823779 66630573 74033970 86372965 103647558 111050955 133261146 155471337 172745930 222101910 259118895 310942674 333152865 466414011 518237790 666305730 777356685 932828022 1554713370 2332070055 4664140110