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20846452859490 = 23523892971114259
BaseRepresentation
bin1001011110101101100010…
…11010101110001001100010
32201210220100010212000020210
410233112301122232021202
510213022013413000430
6112200421144314550
74251051351432066
oct457266132561142
981726303760223
1020846452859490
116707a2719a6a5
122408222a72a56
13b82a73169acb
14520d8bba3aa6
152623e63ed2b0
hex12f5b16ae262

20846452859490 has 128 divisors (see below), whose sum is σ = 52811593574400. Its totient is φ = 5255794874880.

The previous prime is 20846452859473. The next prime is 20846452859509. The reversal of 20846452859490 is 9495825464802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182391981 + ... + 182506239.

It is an arithmetic number, because the mean of its divisors is an integer number (412590574800).

Almost surely, 220846452859490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20846452859490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26405796787200).

20846452859490 is an abundant number, since it is smaller than the sum of its proper divisors (31965140714910).

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

20846452859490 is a wasteful number, since it uses less digits than its factorization.

20846452859490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117352.

The product of its (nonzero) digits is 199065600, while the sum is 66.

The spelling of 20846452859490 in words is "twenty trillion, eight hundred forty-six billion, four hundred fifty-two million, eight hundred fifty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 890 1335 2047 2670 2971 4094 5942 6141 8913 10235 12282 14855 17826 20470 29710 30705 44565 61410 68333 89130 114259 136666 204999 228518 264419 341665 342777 409998 528838 571295 683330 685554 793257 1024995 1142590 1322095 1586514 1713885 2049990 2627957 2644190 3427770 3966285 5255914 6081637 7883871 7932570 10169051 12163274 13139785 15767742 18244911 20338102 26279570 30408185 30507153 36489822 39419355 50845255 60816370 61014306 78838710 91224555 101690510 152535765 182449110 233888173 305071530 339463489 467776346 678926978 701664519 1018390467 1169440865 1403329038 1697317445 2036780934 2338881730 3394634890 3508322595 5091952335 7016645190 7807660247 10183904670 15615320494 23422980741 30212250521 39038301235 46845961482 60424501042 78076602470 90636751563 117114903705 151061252605 181273503126 234229807410 302122505210 453183757815 694881761983 906367515630 1389763523966 2084645285949 3474408809915 4169290571898 6948817619830 10423226429745 20846452859490