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5706442680 = 23351073531259
BaseRepresentation
bin1010101000010000…
…10110011110111000
3112201200200022201220
411110020112132320
543141322131210
62342124512040
7261260651061
oct52410263670
915650608656
105706442680
112469157934
1211330ab620
136cc315603
143c1c35568
15235e9cc70
hex1542167b8

5706442680 has 128 divisors (see below), whose sum is σ = 17342035200. Its totient is φ = 1502031872.

The previous prime is 5706442663. The next prime is 5706442741. The reversal of 5706442680 is 862446075.

It is a Cunningham number, because it is equal to 755412-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531891 + ... + 4533149.

It is an arithmetic number, because the mean of its divisors is an integer number (135484650).

Almost surely, 25706442680 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 5706442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671017600).

5706442680 is an abundant number, since it is smaller than the sum of its proper divisors (11635592520).

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

5706442680 is a wasteful number, since it uses less digits than its factorization.

5706442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 5706442680 is about 75540.9999933811. Note that the first 5 decimals coincide. The cubic root of 5706442680 is about 1786.9887554828.

The spelling of 5706442680 in words is "five billion, seven hundred six million, four hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 353 428 535 642 706 856 1059 1070 1259 1284 1412 1605 1765 2118 2140 2518 2568 2824 3210 3530 3777 4236 4280 5036 5295 6295 6420 7060 7554 8472 10072 10590 12590 12840 14120 15108 18885 21180 25180 30216 37770 37771 42360 50360 75540 75542 113313 134713 151080 151084 188855 226626 269426 302168 377710 404139 444427 453252 538852 566565 673565 755420 808278 888854 906504 1077704 1133130 1333281 1347130 1510840 1616556 1777708 2020695 2222135 2266260 2666562 2694260 3233112 3555416 4041390 4444270 4532520 5333124 5388520 6666405 8082780 8888540 10666248 13332810 16165560 17777080 26665620 47553689 53331240 95107378 142661067 190214756 237768445 285322134 380429512 475536890 570644268 713305335 951073780 1141288536 1426610670 1902147560 2853221340 5706442680