Search a number
-
+
13055241431778 = 23713239671075073
BaseRepresentation
bin1011110111111010100100…
…0001110010101011100010
31201020001212020000000121020
42331332221001302223202
53202344113301304103
643433254540110310
72515132024126350
oct275765101625342
951201766000536
1013055241431778
114183773491047
12156a239b35396
137391475b9460
14331c3c9027d0
151798e4273753
hexbdfa9072ae2

13055241431778 has 128 divisors (see below), whose sum is σ = 33567904161792. Its totient is φ = 3290029940736.

The previous prime is 13055241431773. The next prime is 13055241431849. The reversal of 13055241431778 is 87713414255031.

It is a self number, because there is not a number n which added to its sum of digits gives 13055241431778.

It is not an unprimeable number, because it can be changed into a prime (13055241431773) 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, 11606050 + ... + 12681122.

It is an arithmetic number, because the mean of its divisors is an integer number (262249251264).

Almost surely, 213055241431778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13055241431778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783952080896).

13055241431778 is an abundant number, since it is smaller than the sum of its proper divisors (20512662730014).

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

13055241431778 is a wasteful number, since it uses less digits than its factorization.

13055241431778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076088.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 13055241431778 in words is "thirteen trillion, fifty-five billion, two hundred forty-one million, four hundred thirty-one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 967 1794 1934 2093 2901 4186 5802 6279 6769 12558 12571 13538 20307 22241 25142 37713 40614 44482 66723 75426 87997 133446 155687 175994 263991 289133 311374 467061 527982 578266 867399 934122 1075073 1734798 2023931 2150146 3225219 4047862 6071793 6450438 7525511 12143586 13975949 15051022 22576533 24726679 27951898 41927847 45153066 49453358 74180037 83855694 97831643 148360074 173086753 195663286 293494929 321446827 346173506 519260259 586989858 642893654 964340481 1038520518 1039595591 1928680962 2079191182 2250127789 3118786773 4500255578 6237573546 6750383367 7277169137 13500766734 13514742683 14554338274 21831507411 23910698593 27029485366 40544228049 43663014822 47821397186 71732095779 81088456098 94603198781 143464191558 167374890151 189206397562 283809596343 310839081709 334749780302 502124670453 567619192686 621678163418 932517245127 1004249340906 1865034490254 2175873571963 4351747143926 6527620715889 13055241431778