Search a number
-
+
5057861160 = 2335118394567
BaseRepresentation
bin1001011010111100…
…01101011000101000
3111001111020222011010
410231132031120220
540324303024120
62153515303520
7236224052622
oct45536153050
914044228133
105057861160
112166037a50
12b91a4aba0
13627b3a171
1435da43c12
151e90857e0
hex12d78d628

5057861160 has 128 divisors (see below), whose sum is σ = 16576358400. Its totient is φ = 1224418560.

The previous prime is 5057861153. The next prime is 5057861167. The reversal of 5057861160 is 611687505.

It is an interprime number because it is at equal distance from previous prime (5057861153) and next prime (5057861167).

It is not an unprimeable number, because it can be changed into a prime (5057861167) 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, 1105197 + ... + 1109763.

It is an arithmetic number, because the mean of its divisors is an integer number (129502800).

Almost surely, 25057861160 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 5057861160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288179200).

5057861160 is an abundant number, since it is smaller than the sum of its proper divisors (11518497240).

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

5057861160 is a wasteful number, since it uses less digits than its factorization.

5057861160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 5057861160 is about 71118.6414380927. The cubic root of 5057861160 is about 1716.5467446731.

The spelling of 5057861160 in words is "five billion, fifty-seven million, eight hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 839 1320 1678 2517 3356 4195 4567 5034 6712 8390 9134 9229 10068 12585 13701 16780 18268 18458 20136 22835 25170 27402 27687 33560 36536 36916 45670 46145 50237 50340 54804 55374 68505 73832 91340 92290 100474 100680 109608 110748 137010 138435 150711 182680 184580 200948 221496 251185 274020 276870 301422 369160 401896 502370 548040 553740 602844 753555 1004740 1107480 1205688 1507110 2009480 3014220 3831713 6028440 7663426 11495139 15326852 19158565 22990278 30653704 38317130 42148843 45980556 57475695 76634260 84297686 91961112 114951390 126446529 153268520 168595372 210744215 229902780 252893058 337190744 421488430 459805560 505786116 632232645 842976860 1011572232 1264465290 1685953720 2528930580 5057861160