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5642261760 = 283511313003
BaseRepresentation
bin1010100000100111…
…00001010100000000
3112120012220121001210
411100103201110000
543023404334020
62331513130120
7256551301512
oct52023412400
915505817053
105642261760
112435a00853
1211156b9940
136bbc33635
143b74c9bb2
152305213e0
hex1504e1500

5642261760 has 144 divisors (see below), whose sum is σ = 18180840384. Its totient is φ = 1491173376.

The previous prime is 5642261741. The next prime is 5642261771. The reversal of 5642261760 is 671622465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427419 + ... + 440421.

It is an arithmetic number, because the mean of its divisors is an integer number (126255836).

Almost surely, 25642261760 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 5642261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090420192).

5642261760 is an abundant number, since it is smaller than the sum of its proper divisors (12538578624).

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

5642261760 is a wasteful number, since it uses less digits than its factorization.

5642261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5642261760 is about 75114.9902482853. The cubic root of 5642261760 is about 1780.2640015781.

The spelling of 5642261760 in words is "five billion, six hundred forty-two million, two hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 565 640 678 768 904 960 1130 1280 1356 1695 1808 1920 2260 2712 3390 3616 3840 4520 5424 6780 7232 9040 10848 13003 13560 14464 18080 21696 26006 27120 28928 36160 39009 43392 52012 54240 65015 72320 78018 86784 104024 108480 130030 144640 156036 195045 208048 216960 260060 312072 390090 416096 433920 520120 624144 780180 832192 1040240 1248288 1469339 1560360 1664384 2080480 2496576 2938678 3120720 3328768 4160960 4408017 4993152 5877356 6241440 7346695 8321920 8816034 9986304 11754712 12482880 14693390 16643840 17632068 22040085 23509424 24965760 29386780 35264136 44080170 47018848 49931520 58773560 70528272 88160340 94037696 117547120 141056544 176320680 188075392 235094240 282113088 352641360 376150784 470188480 564226176 705282720 940376960 1128452352 1410565440 1880753920 2821130880 5642261760