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820378861445 = 5111317103655273
BaseRepresentation
bin10111111000000100110…
…00111111111110000101
32220102112121120011102202
423330002120333332011
5101420113442031240
61424513222044245
7113161516160153
oct13740230777605
92812477504382
10820378861445
11296a14530a50
12112bb3279685
135c490ca4180
142b9c6aac3d3
1516517448315
hexbf0263ff85

820378861445 has 64 divisors (see below), whose sum is σ = 1236486311424. Its totient is φ = 513313873920.

The previous prime is 820378861399. The next prime is 820378861459. The reversal of 820378861445 is 544168873028.

It is not a de Polignac number, because 820378861445 - 220 = 820377812869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924329 + ... + 1579601.

It is an arithmetic number, because the mean of its divisors is an integer number (19320098616).

Almost surely, 2820378861445 is an apocalyptic number.

820378861445 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820378861445 is a deficient number, since it is larger than the sum of its proper divisors (416107449979).

820378861445 is a wasteful number, since it uses less digits than its factorization.

820378861445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655422.

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 820378861445 in words is "eight hundred twenty billion, three hundred seventy-eight million, eight hundred sixty-one thousand, four hundred forty-five".

Divisors: 1 5 11 13 17 55 65 85 103 143 187 221 515 715 935 1105 1133 1339 1751 2431 5665 6695 8755 12155 14729 19261 22763 73645 96305 113815 250393 655273 1251965 3276365 7208003 8518549 11139641 36040015 42592745 55698205 67493119 93704039 122536051 144815333 337465595 468520195 612680255 724076665 742424309 877410547 1147383023 1592968663 3712121545 4387052735 5736915115 7964843315 9651516017 12621213253 14915979299 48257580085 63106066265 74579896495 164075772289 820378861445