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82913300574 = 23132732634259
BaseRepresentation
bin100110100111000000…
…1001001000001011110
321221000101000002002020
41031032001021001132
52324301301104244
6102031223441010
75663445266166
oct1151601110136
9257011002066
1082913300574
113218843aa05
121409b5b6166
137a84881800
144027a535a6
152254138d19
hex134e04905e

82913300574 has 96 divisors (see below), whose sum is σ = 182758498560. Its totient is φ = 25060748544.

The previous prime is 82913300573. The next prime is 82913300597. The reversal of 82913300574 is 47500331928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82913300573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19465657 + ... + 19469915.

It is an arithmetic number, because the mean of its divisors is an integer number (1903734360).

Almost surely, 282913300574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82913300574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91379249280).

82913300574 is an abundant number, since it is smaller than the sum of its proper divisors (99845197986).

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

82913300574 is a wasteful number, since it uses less digits than its factorization.

82913300574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 82913300574 in words is "eighty-two billion, nine hundred thirteen million, three hundred thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 263 338 438 507 526 789 949 1014 1578 1898 2847 3419 4259 5694 6838 8518 10257 12337 12777 19199 20514 24674 25554 37011 38398 44447 55367 57597 74022 88894 110734 115194 133341 166101 249587 266682 310907 332202 499174 621814 719771 748761 932721 1120117 1439542 1497522 1865442 2159313 2240234 3244631 3360351 4041791 4318626 6489262 6720702 8083582 9733893 12125373 14561521 19467786 24250746 29123042 43684563 52543283 81768541 87369126 105086566 157629849 163537082 189299773 245305623 315259698 378599546 490611246 567899319 1062991033 1135798638 2125982066 3188973099 6377946198 13818883429 27637766858 41456650287 82913300574