Search a number
-
+
11263775520 = 253582328513
BaseRepresentation
bin10100111110101111…
…11001001100100000
31002001222210002020010
422133113321030200
5141032011304040
65101405444520
7546061340454
oct123727711440
932058702203
1011263775520
114860120298
122224270740
1310a678123a
1478bd34664
1545dce4e80
hex29f5f9320

11263775520 has 96 divisors (see below), whose sum is σ = 35525250432. Its totient is φ = 2999918592.

The previous prime is 11263775473. The next prime is 11263775539. The reversal of 11263775520 is 2557736211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380784 + ... + 409296.

It is an arithmetic number, because the mean of its divisors is an integer number (370054692).

Almost surely, 211263775520 is an apocalyptic number.

11263775520 is a gapful number since it is divisible by the number (10) 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 11263775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762625216).

11263775520 is an abundant number, since it is smaller than the sum of its proper divisors (24261474912).

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

11263775520 is a wasteful number, since it uses less digits than its factorization.

11263775520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29354 (or 29346 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 11263775520 in words is "eleven billion, two hundred sixty-three million, seven hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 823 1646 2469 3292 4115 4938 6584 8230 9876 12345 13168 16460 19752 24690 26336 28513 32920 39504 49380 57026 65840 79008 85539 98760 114052 131680 142565 171078 197520 228104 285130 342156 395040 427695 456208 570260 684312 855390 912416 1140520 1368624 1710780 2281040 2737248 3421560 4562080 6843120 13686240 23466199 46932398 70398597 93864796 117330995 140797194 187729592 234661990 281594388 351992985 375459184 469323980 563188776 703985970 750918368 938647960 1126377552 1407971940 1877295920 2252755104 2815943880 3754591840 5631887760 11263775520