Search a number
-
+
45596360940 = 223513173337901
BaseRepresentation
bin101010011101110000…
…010100000011101100
311100200200121010110220
4222131300110003230
51221340132022230
632540252131340
73202630446624
oct523560240354
9140620533426
1045596360940
1118378a58929
128a06166b50
1343b8634540
1422c7949884
1512bce8cd10
hexa9dc140ec

45596360940 has 96 divisors (see below), whose sum is σ = 138285717696. Its totient is φ = 11158809600.

The previous prime is 45596360921. The next prime is 45596360963. The reversal of 45596360940 is 4906369554.

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, 34011 + ... + 303890.

It is an arithmetic number, because the mean of its divisors is an integer number (1440476226).

Almost surely, 245596360940 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 45596360940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69142858848).

45596360940 is an abundant number, since it is smaller than the sum of its proper divisors (92689356756).

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

45596360940 is a wasteful number, since it uses less digits than its factorization.

45596360940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338099 (or 338097 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 45596360940 in words is "forty-five billion, five hundred ninety-six million, three hundred sixty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 173 195 260 346 390 519 692 780 865 1038 1730 2076 2249 2595 3460 4498 5190 6747 8996 10380 11245 13494 22490 26988 33735 44980 67470 134940 337901 675802 1013703 1351604 1689505 2027406 3379010 4054812 4392713 5068515 6758020 8785426 10137030 13178139 17570852 20274060 21963565 26356278 43927130 52712556 58456873 65890695 87854260 116913746 131781390 175370619 233827492 263562780 292284365 350741238 584568730 701482476 759939349 876853095 1169137460 1519878698 1753706190 2279818047 3039757396 3507412380 3799696745 4559636094 7599393490 9119272188 11399090235 15198786980 22798180470 45596360940