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2581420035740 = 2257131451977507
BaseRepresentation
bin100101100100001000100…
…111111100111010011100
3100010210002121012221000212
4211210020213330322130
5314243222012120430
65253515450111552
7354333665160050
oct45441047747234
910123077187025
102581420035740
11905857349217
1235836841b5b8
13159571a8c190
148cd27297c60
1547236ad0b95
hex259089fce9c

2581420035740 has 96 divisors (see below), whose sum is σ = 6676582961664. Its totient is φ = 816413011200.

The previous prime is 2581420035707. The next prime is 2581420035743. The reversal of 2581420035740 is 475300241852.

2581420035740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581420035743) 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, 2152067 + ... + 3129573.

It is an arithmetic number, because the mean of its divisors is an integer number (69547739184).

Almost surely, 22581420035740 is an apocalyptic number.

2581420035740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581420035740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338291480832).

2581420035740 is an abundant number, since it is smaller than the sum of its proper divisors (4095162925924).

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

2581420035740 is a wasteful number, since it uses less digits than its factorization.

2581420035740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978987 (or 978985 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 2581420035740 in words is "two trillion, five hundred eighty-one billion, four hundred twenty million, thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1451 1820 2902 5804 7255 10157 14510 18863 20314 29020 37726 40628 50785 75452 94315 101570 132041 188630 203140 264082 377260 528164 660205 977507 1320410 1955014 2640820 3910028 4887535 6842549 9775070 12707591 13685098 19550140 25415182 27370196 34212745 50830364 63537955 68425490 88953137 127075910 136850980 177906274 254151820 355812548 444765685 889531370 1418362657 1779062740 2836725314 5673450628 7091813285 9928538599 14183626570 18438714541 19857077198 28367253140 36877429082 39714154396 49642692995 73754858164 92193572705 99285385990 129071001787 184387145410 198570771980 258142003574 368774290820 516284007148 645355008935 1290710017870 2581420035740