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4665701340 = 22325172366293
BaseRepresentation
bin1000101100001100…
…01111001111011100
3110001011100012000100
410112012033033130
534023404420330
62050550101100
7223422543546
oct42606171734
913034305010
104665701340
111a84737523
12aa264a790
13594812331
14323920696
151c4920060
hex11618f3dc

4665701340 has 144 divisors (see below), whose sum is σ = 15636898368. Its totient is φ = 1120069632.

The previous prime is 4665701329. The next prime is 4665701377. The reversal of 4665701340 is 431075664.

It is a happy number.

4665701340 is a `hidden beast` number, since 46 + 6 + 570 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4665701295 and 4665701304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37234 + ... + 103526.

It is an arithmetic number, because the mean of its divisors is an integer number (108589572).

Almost surely, 24665701340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4665701340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818449184).

4665701340 is an abundant number, since it is smaller than the sum of its proper divisors (10971197028).

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

4665701340 is a wasteful number, since it uses less digits than its factorization.

4665701340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66348 (or 66343 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4665701340 is about 68305.9392732433. The cubic root of 4665701340 is about 1670.9840782283.

The spelling of 4665701340 in words is "four billion, six hundred sixty-five million, seven hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 23460 35190 66293 70380 132586 198879 265172 331465 397758 596637 662930 795516 994395 1126981 1193274 1325860 1524739 1988790 2253962 2386548 2983185 3049478 3380943 3977580 4507924 4574217 5634905 5966370 6098956 6761886 7623695 9148434 10142829 11269810 11932740 13523772 13722651 15247390 16904715 18296868 20285658 22539620 22871085 25920563 27445302 30494780 33809430 40571316 45742170 50714145 51841126 54890604 67618860 68613255 77761689 91484340 101428290 103682252 129602815 137226510 155523378 202856580 233285067 259205630 274453020 311046756 388808445 466570134 518411260 777616890 933140268 1166425335 1555233780 2332850670 4665701340