Search a number
-
+
11137541350 = 25213294114411
BaseRepresentation
bin10100101111101100…
…10110010011100110
31001202012020201111111
422113312112103212
5140302202310400
65041100055234
7542666353015
oct122766262346
931665221444
1011137541350
1147a5940731
1221a9b3451a
131086583870
14779274a7c
15452bac3ba
hex297d964e6

11137541350 has 96 divisors (see below), whose sum is σ = 23643174240. Its totient is φ = 3873408000.

The previous prime is 11137541293. The next prime is 11137541357. The reversal of 11137541350 is 5314573111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137541357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765645 + ... + 780055.

It is an arithmetic number, because the mean of its divisors is an integer number (246283065).

Almost surely, 211137541350 is an apocalyptic number.

11137541350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11137541350 is an abundant number, since it is smaller than the sum of its proper divisors (12505632890).

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

11137541350 is a wasteful number, since it uses less digits than its factorization.

11137541350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 11137541350 in words is "eleven billion, one hundred thirty-seven million, five hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 29 41 50 58 65 82 130 145 205 290 325 377 410 533 650 725 754 1025 1066 1189 1450 1885 2050 2378 2665 3770 5330 5945 9425 11890 13325 14411 15457 18850 26650 28822 29725 30914 59450 72055 77285 144110 154570 187343 360275 374686 386425 417919 590851 720550 772850 835838 936715 1181702 1873430 2089595 2954255 4179190 4683575 5432947 5908510 7681063 9367150 10447975 10865894 14771275 15362126 17134679 20895950 27164735 29542550 34269358 38405315 54329470 76810630 85673395 135823675 171346790 192026575 222750827 271647350 384053150 428366975 445501654 856733950 1113754135 2227508270 5568770675 11137541350