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20424632443420 = 22517234889534229
BaseRepresentation
bin1001010010011011110101…
…11101100010001000011100
32200022120112202022122121211
410221031322331202020130
510134114121401142140
6111234540245034204
74205426301155512
oct451157275421034
980276482278554
1020424632443420
1165650465aa797
12235a5200b5964
13b5205ac6618a
145087b3a4a4b2
1525645904b2ea
hex12937af6221c

20424632443420 has 96 divisors (see below), whose sum is σ = 47399107996800. Its totient is φ = 7353439002624.

The previous prime is 20424632443417. The next prime is 20424632443469. The reversal of 20424632443420 is 2434423642402.

It is a super-2 number, since 2×204246324434202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37964866 + ... + 38499094.

It is an arithmetic number, because the mean of its divisors is an integer number (493740708300).

Almost surely, 220424632443420 is an apocalyptic number.

20424632443420 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 20424632443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23699553998400).

20424632443420 is an abundant number, since it is smaller than the sum of its proper divisors (26974475553380).

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

20424632443420 is a wasteful number, since it uses less digits than its factorization.

20424632443420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539167 (or 539165 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

The spelling of 20424632443420 in words is "twenty trillion, four hundred twenty-four billion, six hundred thirty-two million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 4889 7820 9778 19556 24445 48890 83113 97780 112447 166226 224894 332452 415565 449788 534229 562235 831130 1068458 1124470 1662260 1911599 2136916 2248940 2671145 3823198 5342290 7646396 9081893 9557995 10684580 12287267 18163786 19115990 24574534 36327572 38231980 45409465 49149068 61436335 90818930 122872670 181637860 208883539 245745340 417767078 835534156 1044417695 2088835390 2611845581 4177670780 5223691162 10447382324 13059227905 26118455810 44401374877 52236911620 60072448363 88802749754 120144896726 177605499508 222006874385 240289793452 300362241815 444013748770 600724483630 888027497540 1021231622171 1201448967260 2042463244342 4084926488684 5106158110855 10212316221710 20424632443420