Search a number
-
+
5059363140 = 2233513255439
BaseRepresentation
bin1001011011000111…
…11100000101000100
3111001121002021111000
410231203330011010
540330144110030
62154011413300
7236242606566
oct45543740504
914047067430
105059363140
112166973457
12b92454230
13628244a00
1435dd15336
151e9280860
hex12d8fc144

5059363140 has 144 divisors (see below), whose sum is σ = 17044473600. Its totient is φ = 1245359232.

The previous prime is 5059363123. The next prime is 5059363147. The reversal of 5059363140 is 413639505.

5059363140 is a `hidden beast` number, since 5 + 0 + 593 + 63 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5059363095 and 5059363104.

It is not an unprimeable number, because it can be changed into a prime (5059363147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63541 + ... + 118979.

It is an arithmetic number, because the mean of its divisors is an integer number (118364400).

Almost surely, 25059363140 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 5059363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522236800).

5059363140 is an abundant number, since it is smaller than the sum of its proper divisors (11985110460).

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

5059363140 is a wasteful number, since it uses less digits than its factorization.

5059363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55483 (or 55462 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5059363140 is about 71129.2003329153. The cubic root of 5059363140 is about 1716.7166428198.

The spelling of 5059363140 in words is "five billion, fifty-nine million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 55439 91260 110878 166317 221756 277195 332634 498951 554390 665268 720707 831585 997902 1108780 1441414 1496853 1663170 1995804 2162121 2494755 2882828 2993706 3326340 3603535 4324242 4989510 5987412 6486363 7207070 7484265 8648484 9369191 9979020 10810605 12972726 14414140 14968530 18738382 19459089 21621210 25945452 28107573 29937060 32431815 37476764 38918178 43242420 46845955 56215146 64863630 77836356 84322719 93691910 97295445 112430292 129727260 140537865 168645438 187383820 194590890 252968157 281075730 337290876 389181780 421613595 505936314 562151460 843227190 1011872628 1264840785 1686454380 2529681570 5059363140