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820757888484380 = 2257114711339567401
BaseRepresentation
bin1011101010011110011001011…
…0011000111100010000011100
310222122001200120102212211112022
42322213212112120330100130
51330034244123423000010
612025334545124355312
7334610541414502610
oct27247462630742034
93878050512784468
10820757888484380
11218578513a32050
1278078464245b38
13292c81a1686102
1410696c726a1340
1564d4be235dd55
hex2ea799663c41c

820757888484380 has 96 divisors (see below), whose sum is σ = 2194614516713472. Its totient is φ = 250377648192000.

The previous prime is 820757888484377. The next prime is 820757888484403. The reversal of 820757888484380 is 83484888757028.

820757888484380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820757888484295 and 820757888484304.

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, 5669711321 + ... + 5669856080.

It is an arithmetic number, because the mean of its divisors is an integer number (22860567882432).

Almost surely, 2820757888484380 is an apocalyptic number.

It is an amenable number.

820757888484380 is an abundant number, since it is smaller than the sum of its proper divisors (1373856628229092).

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

820757888484380 is a wasteful number, since it uses less digits than its factorization.

820757888484380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339567475 (or 11339567473 counting only the distinct ones).

The product of its (nonzero) digits is 6165626880, while the sum is 80.

The spelling of 820757888484380 in words is "eight hundred twenty trillion, seven hundred fifty-seven billion, eight hundred eighty-eight million, four hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 72380 11339567401 22679134802 45358269604 56697837005 79376971807 113395674010 124735241411 158753943614 226791348020 249470482822 317507887228 396884859035 498940965644 532959667847 623676207055 793769718070 873146689877 1065919335694 1247352414110 1587539436140 1746293379754 2131838671388 2494704828220 2664798339235 3492586759508 3730717674929 4365733449385 5329596678470 5862556346317 7461435349858 8731466898770 10659193356940 11725112692634 14922870699716 17462933797540 18653588374645 23450225385268 29312781731585 37307176749290 41037894424219 58625563463170 74614353498580 82075788848438 117251126926340 164151577696876 205189472121095 410378944242190 820757888484380