Search a number
-
+
11313727992 = 23327219168781
BaseRepresentation
bin10101000100101100…
…11100100111111000
31002012110202221010200
422202112130213320
5141132303243432
65110352242200
7550236046500
oct124226344770
932173687120
1011313727992
114886339326
122238b40360
1310b3c20b08
14794818a00
154633b0a7c
hex2a259c9f8

11313727992 has 144 divisors (see below), whose sum is σ = 37520238600. Its totient is φ = 3062344320.

The previous prime is 11313727969. The next prime is 11313728017. The reversal of 11313727992 is 29972731311.

11313727992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 17359 + ... + 151422.

Almost surely, 211313727992 is an apocalyptic number.

11313727992 is a gapful number since it is divisible by the number (12) 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 11313727992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760119300).

11313727992 is an abundant number, since it is smaller than the sum of its proper divisors (26206510608).

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

11313727992 is a wasteful number, since it uses less digits than its factorization.

11313727992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168826 (or 168812 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The spelling of 11313727992 in words is "eleven billion, three hundred thirteen million, seven hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 33516 67032 168781 337562 506343 675124 1012686 1181467 1350248 1519029 2025372 2362934 3038058 3206839 3544401 4050744 4725868 6076116 6413678 7088802 8270269 9451736 9620517 10633203 12152232 12827356 14177604 16540538 19241034 21266406 22447873 24810807 25654712 28355208 28861551 33081076 38482068 42532812 44895746 49621614 57723102 66162152 67343619 74432421 76964136 85065624 89791492 99243228 115446204 134687238 148864842 157135111 179582984 198486456 202030857 230892408 269374476 297729684 314270222 404061714 471405333 538748952 595459368 628540444 808123428 942810666 1257080888 1414215999 1616246856 1885621332 2828431998 3771242664 5656863996 11313727992