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20834741760 = 29357387551
BaseRepresentation
bin10011011001110110…
…001110111000000000
31222210000020112200020
4103121312032320000
5320132143214020
613323224453440
71335206245230
oct233166167000
958700215606
1020834741760
118921739948
12405561a280
131c70602b81
1410190d5cc0
1581e1a6c40
hex4d9d8ee00

20834741760 has 160 divisors (see below), whose sum is σ = 76121413632. Its totient is φ = 4762214400.

The previous prime is 20834741749. The next prime is 20834741761. The reversal of 20834741760 is 6714743802.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20834741761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140016 + ... + 247535.

Almost surely, 220834741760 is an apocalyptic number.

20834741760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20834741760 is an abundant number, since it is smaller than the sum of its proper divisors (55286671872).

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

20834741760 is an equidigital number, since it uses as much as digits as its factorization.

20834741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387584 (or 387568 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 20834741760 in words is "twenty billion, eight hundred thirty-four million, seven hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 387551 775102 1162653 1550204 1937755 2325306 2712857 3100408 3875510 4650612 5425714 5813265 6200816 7751020 8138571 9301224 10851428 11626530 12401632 13564285 15502040 16277142 18602448 21702856 23253060 24803264 27128570 31004080 32554284 37204896 40692855 43405712 46506120 49606528 54257140 62008160 65108568 74409792 81385710 86811424 93012240 99213056 108514280 124016320 130217136 148819584 162771420 173622848 186024480 198426112 217028560 248032640 260434272 297639168 325542840 347245696 372048960 434057120 496065280 520868544 595278336 651085680 694491392 744097920 868114240 992130560 1041737088 1302171360 1388982784 1488195840 1736228480 2083474176 2604342720 2976391680 3472456960 4166948352 5208685440 6944913920 10417370880 20834741760