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5705673100 = 2252476718119
BaseRepresentation
bin1010101000001010…
…11010100110001100
3112201122020020001221
411110011122212030
543141123014400
62342100213124
7261251264311
oct52405324614
915648206057
105705673100
112468781716
12113299a1a4
136cc10623a
143c1ab4d08
15235d99c1a
hex15415a98c

5705673100 has 72 divisors (see below), whose sum is σ = 12834178560. Its totient is φ = 2200249920.

The previous prime is 5705673049. The next prime is 5705673187. The reversal of 5705673100 is 13765075.

It is a super-2 number, since 2×57056731002 = 65109411048127220000, which contains 22 as substring.

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, 305841 + ... + 323959.

It is an arithmetic number, because the mean of its divisors is an integer number (178252480).

Almost surely, 25705673100 is an apocalyptic number.

5705673100 is a gapful number since it is divisible by the number (50) 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 5705673100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417089280).

5705673100 is an abundant number, since it is smaller than the sum of its proper divisors (7128505460).

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

5705673100 is a wasteful number, since it uses less digits than its factorization.

5705673100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18247 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 5705673100 is about 75535.9060315027. The cubic root of 5705673100 is about 1786.9084198160.

The spelling of 5705673100 in words is "five billion, seven hundred five million, six hundred seventy-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 67 94 100 134 188 235 268 335 470 670 940 1175 1340 1675 2350 3149 3350 4700 6298 6700 12596 15745 18119 31490 36238 62980 72476 78725 90595 157450 181190 314900 362380 452975 851593 905950 1213973 1703186 1811900 2427946 3406372 4257965 4855892 6069865 8515930 12139730 17031860 21289825 24279460 30349325 42579650 57056731 60698650 85159300 114113462 121397300 228226924 285283655 570567310 1141134620 1426418275 2852836550 5705673100