Search a number
-
+
11401163520 = 28356148673
BaseRepresentation
bin10101001111000111…
…11111001100000000
31002102120022010010120
422213203333030000
5141322144213040
65123154300240
7552350201535
oct124743771400
932376263116
1011401163520
11492072899a
122262287680
1310c9085706
147a2298d8c
1546add27d0
hex2a78ff300

11401163520 has 144 divisors (see below), whose sum is σ = 37010152032. Its totient is φ = 2990407680.

The previous prime is 11401163497. The next prime is 11401163531. The reversal of 11401163520 is 2536110411.

It is a happy number.

11401163520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 209904 + ... + 258576.

Almost surely, 211401163520 is an apocalyptic number.

11401163520 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 11401163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505076016).

11401163520 is an abundant number, since it is smaller than the sum of its proper divisors (25608988512).

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

11401163520 is an equidigital number, since it uses as much as digits as its factorization.

11401163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48758 (or 48744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11401163520 its reverse (2536110411), we get a palindrome (13937273931).

The spelling of 11401163520 in words is "eleven billion, four hundred one million, one hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 610 640 732 768 915 960 976 1220 1280 1464 1830 1920 1952 2440 2928 3660 3840 3904 4880 5856 7320 7808 9760 11712 14640 15616 19520 23424 29280 39040 46848 48673 58560 78080 97346 117120 146019 194692 234240 243365 292038 389384 486730 584076 730095 778768 973460 1168152 1460190 1557536 1946920 2336304 2920380 2969053 3115072 3893840 4672608 5840760 5938106 6230144 7787680 8907159 9345216 11681520 11876212 12460288 14845265 15575360 17814318 18690432 23363040 23752424 29690530 31150720 35628636 37380864 44535795 46726080 47504848 59381060 62301440 71257272 89071590 93452160 95009696 118762120 142514544 178143180 186904320 190019392 237524240 285029088 356286360 380038784 475048480 570058176 712572720 760077568 950096960 1140116352 1425145440 1900193920 2280232704 2850290880 3800387840 5700581760 11401163520