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20034660030 = 23571143120123
BaseRepresentation
bin10010101010001010…
…001010011010111110
31220201020202011212120
4102222022022122332
5312012333110110
613112004143410
71306322541360
oct225212123276
956636664776
1020034660030
118551052680
123a71697b66
131b73921a28
14d80b48d30
157c3d15870
hex4aa28a6be

20034660030 has 128 divisors (see below), whose sum is σ = 60089942016. Its totient is φ = 4153180800.

The previous prime is 20034660007. The next prime is 20034660043. The reversal of 20034660030 is 3006643002.

It is a super-4 number, since 4×200346600304 (a number of 42 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 985549 + ... + 1005671.

It is an arithmetic number, because the mean of its divisors is an integer number (469452672).

Almost surely, 220034660030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034660030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30044971008).

20034660030 is an abundant number, since it is smaller than the sum of its proper divisors (40055281986).

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

20034660030 is a wasteful number, since it uses less digits than its factorization.

20034660030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582.

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 20034660030 in words is "twenty billion, thirty-four million, six hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 431 462 770 862 1155 1293 2155 2310 2586 3017 4310 4741 6034 6465 9051 9482 12930 14223 15085 18102 20123 23705 28446 30170 33187 40246 45255 47410 60369 66374 71115 90510 99561 100615 120738 140861 142230 165935 199122 201230 221353 281722 301845 331870 422583 442706 497805 603690 664059 704305 845166 995610 1106765 1328118 1408610 1549471 2112915 2213530 3098942 3320295 4225830 4648413 6640590 7747355 8673013 9296826 15494710 17346026 23242065 26019039 43365065 46484130 52038078 60711091 86730130 95403143 121422182 130095195 182133273 190806286 260190390 286209429 303555455 364266546 477015715 572418858 607110910 667822001 910666365 954031430 1335644002 1431047145 1821332730 2003466003 2862094290 3339110005 4006932006 6678220010 10017330015 20034660030