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820755540080 = 24571465634893
BaseRepresentation
bin10111111000110001101…
…01111010100001110000
32220110111212100102101022
423330120311322201300
5101421401404240310
61425014435355012
7113204041660460
oct13743065724160
92813455312338
10820755540080
11297098118203
12113099452a68
135c52103b638
142ba20b21ba0
151653a551a55
hexbf18d7a870

820755540080 has 40 divisors (see below), whose sum is σ = 2180864722272. Its totient is φ = 281401899264.

The previous prime is 820755540061. The next prime is 820755540089. The reversal of 820755540080 is 80045557028.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820755540089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732816887 + ... + 732818006.

Almost surely, 2820755540080 is an apocalyptic number.

820755540080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820755540080 is an abundant number, since it is smaller than the sum of its proper divisors (1360109182192).

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

820755540080 is a wasteful number, since it uses less digits than its factorization.

820755540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465634913 (or 1465634907 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 820755540080 in words is "eight hundred twenty billion, seven hundred fifty-five million, five hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1465634893 2931269786 5862539572 7328174465 10259444251 11725079144 14656348930 20518888502 23450158288 29312697860 41037777004 51297221255 58625395720 82075554008 102594442510 117250791440 164151108016 205188885020 410377770040 820755540080