Search a number
-
+
2015730658830 = 2357241383310391
BaseRepresentation
bin11101010101010010111…
…010001110111000001110
321010200221201212010010210
4131111102322032320032
5231011204022040310
64142002555343250
7265426453620120
oct35252272167016
97120851763123
102015730658830
11707959452679
122867b4151b26
1311810c595615
146d7c1b4d210
153767901d820
hex1d552e8ee0e

2015730658830 has 128 divisors (see below), whose sum is σ = 5553785419776. Its totient is φ = 458662809600.

The previous prime is 2015730658793. The next prime is 2015730658831. The reversal of 2015730658830 is 388560375102.

It is a super-3 number, since 3×20157306588303 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2015730658830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015730658831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193982935 + ... + 193993325.

It is an arithmetic number, because the mean of its divisors is an integer number (43388948592).

Almost surely, 22015730658830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2015730658830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776892709888).

2015730658830 is an abundant number, since it is smaller than the sum of its proper divisors (3538054760946).

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

2015730658830 is a wasteful number, since it uses less digits than its factorization.

2015730658830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14482.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 2015730658830 in words is "two trillion, fifteen billion, seven hundred thirty million, six hundred fifty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 241 482 723 1205 1446 1687 2410 3374 3615 3833 5061 7230 7666 8435 10122 10391 11499 16870 19165 20782 22998 25305 26831 31173 38330 50610 51955 53662 57495 62346 72737 80493 103910 114990 134155 145474 155865 160986 218211 268310 311730 363685 402465 436422 727370 804930 923753 1091055 1847506 2182110 2504231 2771259 4618765 5008462 5542518 6466271 7512693 9237530 12521155 12932542 13856295 15025386 17529617 19398813 25042310 27712590 32331355 35059234 37563465 38797626 39828703 52588851 64662710 75126930 79657406 87648085 96994065 105177702 119486109 175296170 193988130 199143515 238972218 262944255 278800921 398287030 525888510 557601842 597430545 836402763 1194861090 1394004605 1672805526 2788009210 4182013815 8364027630 9598717423 19197434846 28796152269 47993587115 57592304538 67191021961 95987174230 134382043922 143980761345 201573065883 287961522690 335955109805 403146131766 671910219610 1007865329415 2015730658830