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820834462071 = 36132332511481
BaseRepresentation
bin10111111000111011000…
…10111110100101110111
32220110201100212002000000
423330131202332211313
5101422032110241241
61425030335122343
7113206020543651
oct13743542764567
92813640762000
10820834462071
11297128722498
121130bb9733b3
135c5344b2140
142ba2b3c76d1
1516542440eb6
hexbf1d8be977

820834462071 has 112 divisors (see below), whose sum is σ = 1337250593952. Its totient is φ = 500618880000.

The previous prime is 820834462069. The next prime is 820834462099. The reversal of 820834462071 is 170264438028.

It is a happy number.

It is not a de Polignac number, because 820834462071 - 21 = 820834462069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820834482071) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 554242651 + ... + 554244131.

It is an arithmetic number, because the mean of its divisors is an integer number (11939737446).

Almost surely, 2820834462071 is an apocalyptic number.

820834462071 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

820834462071 is a deficient number, since it is larger than the sum of its proper divisors (516416131881).

820834462071 is a wasteful number, since it uses less digits than its factorization.

820834462071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 820834462071 in words is "eight hundred twenty billion, eight hundred thirty-four million, four hundred sixty-two thousand, seventy-one".

Divisors: 1 3 9 13 27 39 81 117 233 243 251 351 699 729 753 1053 1481 2097 2259 3029 3159 3263 4443 6291 6777 9087 9477 9789 13329 18873 19253 20331 27261 29367 39987 56619 57759 58483 60993 81783 88101 119961 169857 173277 175449 182979 245349 264303 345073 359883 371731 519831 526347 736047 760279 792909 1035219 1079649 1115193 1559493 1579041 2208141 2280837 2378727 3105657 3345579 4485949 4678479 4737123 4832503 6842511 9316971 10036737 13457847 14035437 14211369 14497509 20527533 27950913 30110211 40373541 42634107 43492527 61582599 83852739 86613323 90330633 121120623 130477581 184747797 251558217 259839969 270991899 363361869 391432743 554243391 779519907 1090085607 1125973199 1174298229 2338559721 3270256821 3377919597 3522894687 7015679163 10133758791 21047037489 30401276373 63141112467 91203829119 273611487357 820834462071