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682481510744 = 2311215716092791
BaseRepresentation
bin10011110111001110001…
…00010110100101011000
32102020121022100221021112
421323213010112211120
542140210231320434
61241305551155452
7100210346060555
oct11734704264530
92366538327245
10682481510744
11243491025400
12b0329815b88
134c485c19b77
1425064819a2c
1512b46113dce
hex9ee7116958

682481510744 has 96 divisors (see below), whose sum is σ = 1416906775200. Its totient is φ = 307941004800.

The previous prime is 682481510647. The next prime is 682481510801. The reversal of 682481510744 is 447015184286.

682481510744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 682481510692 and 682481510701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244527989 + ... + 244530779.

It is an arithmetic number, because the mean of its divisors is an integer number (14759445575).

Almost surely, 2682481510744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682481510744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708453387600).

682481510744 is an abundant number, since it is smaller than the sum of its proper divisors (734425264456).

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

682481510744 is a wasteful number, since it uses less digits than its factorization.

682481510744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 682481510744 in words is "six hundred eighty-two billion, four hundred eighty-one million, five hundred ten thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1609 1727 2791 3218 3454 5582 6436 6908 11164 12872 13816 17699 18997 22328 30701 35398 37994 61402 70796 75988 122804 141592 151976 194689 245608 252613 337711 389378 438187 505226 675422 778756 876374 1010452 1350844 1557512 1752748 2020904 2701688 2778743 3505496 4490719 4820057 5557486 8981438 9640114 11114972 17962876 19280228 22229944 30566173 35925752 38560456 49397909 53020627 61132346 98795818 106041254 122264692 197591636 212082508 244529384 395183272 424165016 543376999 705042883 1086753998 1410085766 2173507996 2820171532 4347015992 5640343064 7755471713 15510943426 31021886852 62043773704 85310188843 170620377686 341240755372 682481510744