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20820563343360 = 2113351143159209
BaseRepresentation
bin1001011101111101010100…
…10010000011100000000000
32201201102111212011022201000
410232332222102003200000
510212111003203441420
6112140500150212000
74246143653245164
oct456765222034000
981642455138630
1020820563343360
1166a7a51241a80
1224031b8654000
13b804a856aab1
1451da1362cca4
152618cd5c0690
hex12efaa483800

20820563343360 has 768 divisors, whose sum is σ = 82616998464000. Its totient is φ = 4929996718080.

The previous prime is 20820563343353. The next prime is 20820563343443. The reversal of 20820563343360 is 6334336502802.

20820563343360 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 0 + 5 + 633 + 4 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×208205633433602 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 130695436 + ... + 130854644.

It is an arithmetic number, because the mean of its divisors is an integer number (107574216750).

Almost surely, 220820563343360 is an apocalyptic number.

20820563343360 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 20820563343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41308499232000).

20820563343360 is an abundant number, since it is smaller than the sum of its proper divisors (61796435120640).

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

20820563343360 is a wasteful number, since it uses less digits than its factorization.

20820563343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159299 (or 159273 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 20820563343360 in words is "twenty trillion, eight hundred twenty billion, five hundred sixty-three million, three hundred forty-three thousand, three hundred sixty".