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20059340160 = 273522134721
BaseRepresentation
bin10010101011101000…
…010011110110000000
31220202222012001122110
4102223220103312000
5312040142341120
613114245135320
71310042402166
oct225350236600
956688161573
1020059340160
118563a7a182
123a799ba540
131b78a83462
14d84131236
157c608d2e0
hex4aba13d80

20059340160 has 128 divisors (see below), whose sum is σ = 63981588960. Its totient is φ = 5345607680.

The previous prime is 20059340149. The next prime is 20059340209. The reversal of 20059340160 is 6104395002.

It is a Cunningham number, because it is equal to 1416312-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246600 + ... + 4251320.

Almost surely, 220059340160 is an apocalyptic number.

20059340160 is a gapful number since it is divisible by the number (20) 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 20059340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990794480).

20059340160 is an abundant number, since it is smaller than the sum of its proper divisors (43922248800).

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

20059340160 is a wasteful number, since it uses less digits than its factorization.

20059340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 20059340160 in words is "twenty billion, fifty-nine million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2213 4426 4721 6639 8852 9442 11065 13278 14163 17704 18884 22130 23605 26556 28326 33195 35408 37768 44260 47210 53112 56652 66390 70815 70816 75536 88520 94420 106224 113304 132780 141630 141632 151072 177040 188840 212448 226608 265560 283260 283264 302144 354080 377680 424896 453216 531120 566520 604288 708160 755360 849792 906432 1062240 1133040 1416320 1510720 1812864 2124480 2266080 3021440 4248960 4532160 9064320 10447573 20895146 31342719 41790292 52237865 62685438 83580584 104475730 125370876 156713595 167161168 208951460 250741752 313427190 334322336 417902920 501483504 626854380 668644672 835805840 1002967008 1253708760 1337289344 1671611680 2005934016 2507417520 3343223360 4011868032 5014835040 6686446720 10029670080 20059340160