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82523096620731 = 33132111114258471
BaseRepresentation
bin10010110000110111100111…
…110111000001111010111011
3101211012010112111021111011000
4102300313213313001322323
541304024300213330411
6451302330501340043
723245045156413534
oct2260674767017273
9354163474244130
1082523096620731
1124326937740428
129309642107623
133707b82632b30
1416541d3d0768b
15981936092956
hex4b0de7dc1ebb

82523096620731 has 32 divisors (see below), whose sum is σ = 132284765795840. Its totient is φ = 50542764199200.

The previous prime is 82523096620667. The next prime is 82523096620733. The reversal of 82523096620731 is 13702669032528.

82523096620731 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 3 + 0 + 9 + 6 + 620 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 82523096620731 - 26 = 82523096620667 is a prime.

It is a super-2 number, since 2×825230966207312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82523096620733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557055175 + ... + 557203296.

It is an arithmetic number, because the mean of its divisors is an integer number (4133898931120).

Almost surely, 282523096620731 is an apocalyptic number.

82523096620731 is a deficient number, since it is larger than the sum of its proper divisors (49761669175109).

82523096620731 is a wasteful number, since it uses less digits than its factorization.

82523096620731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114258704 (or 1114258698 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 82523096620731 in words is "eighty-two trillion, five hundred twenty-three billion, ninety-six million, six hundred twenty thousand, seven hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 211 351 633 1899 2743 5697 8229 24687 74061 1114258471 3342775413 10028326239 14485360123 30084978717 43456080369 130368241107 235108537381 391104723321 705325612143 2115976836429 3056410985953 6347930509287 9169232957859 27507698873577 82523096620731