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11479430640 = 24351923109453
BaseRepresentation
bin10101011000011101…
…00011010111110000
31002122000120111102210
422230032203113300
5142002213240030
65135032012120
7554320356546
oct125416432760
932560514383
1011479430640
114960926167
122284531040
13110c35a112
147ac82dd96
15472be2bb0
hex2ac3a35f0

11479430640 has 160 divisors (see below), whose sum is σ = 39088212480. Its totient is φ = 2773951488.

The previous prime is 11479430587. The next prime is 11479430647. The reversal of 11479430640 is 4603497411.

11479430640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11479430647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50154 + ... + 159606.

It is an arithmetic number, because the mean of its divisors is an integer number (244301328).

Almost surely, 211479430640 is an apocalyptic number.

11479430640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11479430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544106240).

11479430640 is an abundant number, since it is smaller than the sum of its proper divisors (27608781840).

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

11479430640 is a wasteful number, since it uses less digits than its factorization.

11479430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109511 (or 109505 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 11479430640 in words is "eleven billion, four hundred seventy-nine million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 26220 34960 52440 104880 109453 218906 328359 437812 547265 656718 875624 1094530 1313436 1641795 1751248 2079607 2189060 2517419 2626872 3283590 4159214 4378120 5034838 5253744 6238821 6567180 7552257 8318428 8756240 10069676 10398035 12477642 12587095 13134360 15104514 16636856 20139352 20796070 24955284 25174190 26268720 30209028 31194105 33273712 37761285 40278704 41592140 47830961 49910568 50348380 60418056 62388210 75522570 83184280 95661922 99821136 100696760 120836112 124776420 143492883 151045140 166368560 191323844 201393520 239154805 249552840 286985766 302090280 382647688 478309610 499105680 573971532 604180560 717464415 765295376 956619220 1147943064 1434928830 1913238440 2295886128 2869857660 3826476880 5739715320 11479430640