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20093443578 = 23313194993019
BaseRepresentation
bin10010101101101010…
…011001110111111010
31220212100100200202000
4102231222121313322
5312122410143303
613121504121430
71310635311105
oct225552316772
956770320660
1020093443578
11858125261a
123a89306276
131b82b640b0
14d8888b73c
157c9077da3
hex4ada99dfa

20093443578 has 128 divisors (see below), whose sum is σ = 50736000000. Its totient is φ = 5843524032.

The previous prime is 20093443561. The next prime is 20093443583. The reversal of 20093443578 is 87534439002.

20093443578 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 34 + 43 + 578 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6654153 + ... + 6657171.

It is an arithmetic number, because the mean of its divisors is an integer number (396375000).

Almost surely, 220093443578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20093443578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25368000000).

20093443578 is an abundant number, since it is smaller than the sum of its proper divisors (30642556422).

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

20093443578 is a wasteful number, since it uses less digits than its factorization.

20093443578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20093443578 in words is "twenty billion, ninety-three million, four hundred forty-three thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 499 513 702 741 998 1026 1482 1497 2223 2994 3019 4446 4491 6038 6487 6669 8982 9057 9481 12974 13338 13473 18114 18962 19461 26946 27171 28443 38922 39247 54342 56886 57361 58383 78494 81513 85329 114722 116766 117741 123253 163026 170658 172083 175149 235482 246506 255987 344166 350298 353223 369759 511974 516249 706446 739518 745693 1032498 1059669 1109277 1491386 1506481 1548747 2119338 2218554 2237079 3012962 3097494 3327831 4474158 4519443 6655662 6711237 9038886 13422474 13558329 19584253 20133711 27116658 28623139 39168506 40267422 40674987 57246278 58752759 81349974 85869417 117505518 171738834 176258277 257608251 352516554 372100807 515216502 528774831 744201614 772824753 1057549662 1116302421 1545649506 2232604842 3348907263 6697814526 10046721789 20093443578