Search a number
-
+
57340369060 = 225138317315359
BaseRepresentation
bin110101011001110000…
…001001100010100100
312111000011000112222121
4311121300021202210
51414413113302220
642201455035324
74066643044432
oct653160114244
9174004015877
1057340369060
1122355163a67
12b14320bb44
13553a739280
142abd56bd52
151758ee3eaa
hexd59c098a4

57340369060 has 96 divisors (see below), whose sum is σ = 132007034880. Its totient is φ = 20794486272.

The previous prime is 57340369043. The next prime is 57340369061. The reversal of 57340369060 is 6096304375.

It is a junction number, because it is equal to n+sod(n) for n = 57340368998 and 57340369016.

It is not an unprimeable number, because it can be changed into a prime (57340369061) 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, 3725661 + ... + 3741019.

It is an arithmetic number, because the mean of its divisors is an integer number (1375073280).

Almost surely, 257340369060 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 57340369060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66003517440).

57340369060 is an abundant number, since it is smaller than the sum of its proper divisors (74666665820).

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

57340369060 is a wasteful number, since it uses less digits than its factorization.

57340369060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 57340369060 in words is "fifty-seven billion, three hundred forty million, three hundred sixty-nine thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 173 260 332 346 415 692 830 865 1079 1660 1730 2158 2249 3460 4316 4498 5395 8996 10790 11245 14359 15359 21580 22490 28718 30718 44980 57436 61436 71795 76795 143590 153590 186667 199667 287180 307180 373334 399334 746668 798668 933335 998335 1274797 1866670 1996670 2549594 2657107 3733340 3993340 5099188 5314214 6373985 10628428 12747970 13285535 16572361 25495940 26571070 33144722 34542391 53142140 66289444 69084782 82861805 138169564 165723610 172711955 220539881 331447220 345423910 441079762 690847820 882159524 1102699405 2205398810 2867018453 4410797620 5734036906 11468073812 14335092265 28670184530 57340369060