Search a number
-
+
11260553550 = 2352294635591
BaseRepresentation
bin10100111110010111…
…00110100101001110
31002001202201101111220
422133023212211032
5141030200203200
65101212424210
7546022061121
oct123713464516
932052641456
1011260553550
11485931a604
122223178066
1310a5bc384c
1478b7363b8
1545d8aa4a0
hex29f2e694e

11260553550 has 96 divisors (see below), whose sum is σ = 28956718080. Its totient is φ = 2892489600.

The previous prime is 11260553519. The next prime is 11260553573. The reversal of 11260553550 is 5535506211.

It is a congruent number.

It is an unprimeable number.

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, 2011255 + ... + 2016845.

It is an arithmetic number, because the mean of its divisors is an integer number (301632480).

Almost surely, 211260553550 is an apocalyptic number.

11260553550 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 11260553550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478359040).

11260553550 is an abundant number, since it is smaller than the sum of its proper divisors (17696164530).

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

11260553550 is a wasteful number, since it uses less digits than its factorization.

11260553550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 11260553550 in words is "eleven billion, two hundred sixty million, five hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 463 725 870 926 1389 1450 2175 2315 2778 4350 4630 5591 6945 11182 11575 13427 13890 16773 23150 26854 27955 33546 34725 40281 55910 67135 69450 80562 83865 134270 139775 162139 167730 201405 279550 324278 335675 402810 419325 486417 671350 810695 838650 972834 1007025 1621390 2014050 2432085 2588633 4053475 4864170 5177266 7765899 8106950 12160425 12943165 15531798 24320850 25886330 38829495 64715825 75070357 77658990 129431650 150140714 194147475 225211071 375351785 388294950 450422142 750703570 1126055355 1876758925 2252110710 3753517850 5630276775 11260553550