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820970224635 = 3511171632297841
BaseRepresentation
bin10111111001001011010…
…00110111101111111011
32220111001211022112020010
423330211220313233323
5101422321334142020
61425052025033003
7113212256525121
oct13744550675773
92814054275203
10820970224635
1129719831a960
12113139325763
135c556667812
142ba41447911
151654e30bde0
hexbf25a37bfb

820970224635 has 128 divisors (see below), whose sum is σ = 1533428444160. Its totient is φ = 370660147200.

The previous prime is 820970224619. The next prime is 820970224637. The reversal of 820970224635 is 536422079028.

It is not a de Polignac number, because 820970224635 - 24 = 820970224619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820970224637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104698315 + ... + 104706155.

It is an arithmetic number, because the mean of its divisors is an integer number (11979909720).

Almost surely, 2820970224635 is an apocalyptic number.

820970224635 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

820970224635 is a deficient number, since it is larger than the sum of its proper divisors (712458219525).

820970224635 is a wasteful number, since it uses less digits than its factorization.

820970224635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 820970224635 in words is "eight hundred twenty billion, nine hundred seventy million, two hundred twenty-four thousand, six hundred thirty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 163 165 187 229 255 489 561 687 815 935 1145 1793 2445 2519 2771 2805 3435 3893 5379 7557 7841 8313 8965 11679 12595 13855 19465 23523 26895 30481 37327 37785 39205 41565 42823 58395 86251 91443 111981 117615 128469 133297 152405 186635 214115 258753 399891 410597 431255 457215 559905 634559 642345 666485 1231791 1278083 1293765 1466267 1795589 1903677 1999455 2052985 3172795 3834249 4398801 5386767 6158955 6390415 6980149 7331335 8977945 9518385 14058913 19171245 19751479 20940447 21727411 21994005 26933835 30525013 34900745 42176739 59254437 65182233 70294565 91575039 98757395 104702235 108637055 152625065 210883695 239001521 292681007 296272185 325911165 335775143 457875195 717004563 878043021 1007325429 1195007605 1463405035 1678875715 3219491077 3585022815 4390215105 4975577119 5036627145 9658473231 14926731357 16097455385 24877885595 48292366155 54731348309 74633656785 164194044927 273656741545 820970224635