Search a number
-
+
15250601340 = 223251319733083
BaseRepresentation
bin11100011010000000…
…11011010101111100
31110100211200211002200
432031000123111330
5222213123220330
611001145151500
71046631654402
oct161500332574
943324624080
1015250601340
116516626567
122b5748b590
13159073c380
14a49619472
155e3d16a60
hex38d01b57c

15250601340 has 144 divisors (see below), whose sum is σ = 50073031008. Its totient is φ = 3734825472.

The previous prime is 15250601339. The next prime is 15250601363. The reversal of 15250601340 is 4310605251.

15250601340 is a `hidden beast` number, since 1 + 5 + 2 + 50 + 601 + 3 + 4 + 0 = 666.

15250601340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444439 + ... + 477521.

It is an arithmetic number, because the mean of its divisors is an integer number (347729382).

Almost surely, 215250601340 is an apocalyptic number.

15250601340 is a gapful number since it is divisible by the number (10) 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 15250601340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25036515504).

15250601340 is an abundant number, since it is smaller than the sum of its proper divisors (34822429668).

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

15250601340 is a wasteful number, since it uses less digits than its factorization.

15250601340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33308 (or 33303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 15250601340 in words is "fifteen billion, two hundred fifty million, six hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 197 234 260 390 394 468 585 591 780 788 985 1170 1182 1773 1970 2340 2364 2561 2955 3546 3940 5122 5910 7092 7683 8865 10244 11820 12805 15366 17730 23049 25610 30732 33083 35460 38415 46098 51220 66166 76830 92196 99249 115245 132332 153660 165415 198498 230490 297747 330830 396996 430079 460980 496245 595494 661660 860158 992490 1190988 1290237 1488735 1720316 1984980 2150395 2580474 2977470 3870711 4300790 5160948 5954940 6451185 6517351 7741422 8601580 12902370 13034702 15482844 19353555 19552053 25804740 26069404 32586755 38707110 39104106 58656159 65173510 77414220 78208212 84725563 97760265 117312318 130347020 169451126 195520530 234624636 254176689 293280795 338902252 391041060 423627815 508353378 586561590 762530067 847255630 1016706756 1173123180 1270883445 1525060134 1694511260 2541766890 3050120268 3812650335 5083533780 7625300670 15250601340