Search a number
-
+
11265452550 = 23252116137309
BaseRepresentation
bin10100111110111100…
…10010101000000110
31002002002221021200100
422133132102220012
5141032423440200
65101505424530
7546111523662
oct123736225006
932062837610
1011265452550
114861066270
12222493b146
1310a6c1a671
1478c24d8a2
1545e026d00
hex29f792a06

11265452550 has 144 divisors (see below), whose sum is σ = 33560195760. Its totient is φ = 2686176000.

The previous prime is 11265452537. The next prime is 11265452563. The reversal of 11265452550 is 5525456211.

11265452550 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 54 + 52 + 550 = 666.

11265452550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11265452537) and next prime (11265452563).

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 71 ways as a sum of consecutive naturals, for example, 283296 + ... + 320604.

It is an arithmetic number, because the mean of its divisors is an integer number (233056915).

Almost surely, 211265452550 is an apocalyptic number.

11265452550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11265452550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780097880).

11265452550 is an abundant number, since it is smaller than the sum of its proper divisors (22294743210).

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

11265452550 is a wasteful number, since it uses less digits than its factorization.

11265452550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37399 (or 37391 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 11265452550 in words is "eleven billion, two hundred sixty-five million, four hundred fifty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 61 66 75 90 99 110 122 150 165 183 198 225 275 305 330 366 450 495 549 550 610 671 825 915 990 1098 1342 1525 1650 1830 2013 2475 2745 3050 3355 4026 4575 4950 5490 6039 6710 9150 10065 12078 13725 16775 20130 27450 30195 33550 37309 50325 60390 74618 100650 111927 150975 186545 223854 301950 335781 373090 410399 559635 671562 820798 932725 1119270 1231197 1678905 1865450 2051995 2275849 2462394 2798175 3357810 3693591 4103990 4551698 5596350 6155985 6827547 7387182 8394525 10259975 11379245 12311970 13655094 16789050 18467955 20482641 20519950 22758490 25034339 30779925 34137735 36935910 40965282 50068678 56896225 61559850 68275470 75103017 92339775 102413205 113792450 125171695 150206034 170688675 184679550 204826410 225309051 250343390 341377350 375515085 450618102 512066025 625858475 751030170 1024132050 1126545255 1251716950 1877575425 2253090510 3755150850 5632726275 11265452550