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20620213650 = 23252294733619
BaseRepresentation
bin10011001101000011…
…110111110110010010
31222020001120101102200
4103031003313312102
5314212233314100
613250042424030
71326662631651
oct231503676622
958201511380
1020620213650
118821633793
123bb5802016
131c3802cc6a
14dd8811198
1580a42ce00
hex4cd0f7d92

20620213650 has 144 divisors (see below), whose sum is σ = 58531075200. Its totient is φ = 5195998080.

The previous prime is 20620213633. The next prime is 20620213651. The reversal of 20620213650 is 5631202602.

20620213650 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 0 + 2 + 1 + 3 + 650 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20620213651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 596541 + ... + 630159.

It is an arithmetic number, because the mean of its divisors is an integer number (406465800).

Almost surely, 220620213650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20620213650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265537600).

20620213650 is an abundant number, since it is smaller than the sum of its proper divisors (37910861550).

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

20620213650 is a wasteful number, since it uses less digits than its factorization.

20620213650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33713 (or 33705 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

It can be divided in two parts, 20620 and 213650, that added together give a triangular number (234270 = T684).

The spelling of 20620213650 in words is "twenty billion, six hundred twenty million, two hundred thirteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 47 50 58 75 87 90 94 141 145 150 174 225 235 261 282 290 423 435 450 470 522 705 725 846 870 1175 1305 1363 1410 1450 2115 2175 2350 2610 2726 3525 4089 4230 4350 6525 6815 7050 8178 10575 12267 13050 13630 20445 21150 24534 33619 34075 40890 61335 67238 68150 100857 102225 122670 168095 201714 204450 302571 306675 336190 504285 605142 613350 840475 974951 1008570 1512855 1580093 1680950 1949902 2521425 2924853 3025710 3160186 4740279 4874755 5042850 5849706 7564275 7900465 8774559 9480558 9749510 14220837 14624265 15128550 15800930 17549118 23701395 24373775 28441674 29248530 39502325 43872795 45822697 47402790 48747550 71104185 73121325 79004650 87745590 91645394 118506975 137468091 142208370 146242650 219363975 229113485 237013950 274936182 355520925 412404273 438727950 458226970 687340455 711041850 824808546 1145567425 1374680910 2062021365 2291134850 3436702275 4124042730 6873404550 10310106825 20620213650