Search a number
-
+
11246401632 = 2532343118453
BaseRepresentation
bin10100111100101011…
…00111100001100000
31002000210002101201210
422132111213201200
5141013034323012
65055545230120
7545460556644
oct123625474140
932023071653
1011246401632
114851334004
12221a492340
1310a2caa22b
147898d0c24
1545c51223c
hex29e567860

11246401632 has 96 divisors (see below), whose sum is σ = 31522030848. Its totient is φ = 3502388736.

The previous prime is 11246401591. The next prime is 11246401667. The reversal of 11246401632 is 23610464211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11246401632.

It is a congruent number.

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, 35718 + ... + 154170.

It is an arithmetic number, because the mean of its divisors is an integer number (328354488).

Almost surely, 211246401632 is an apocalyptic number.

11246401632 is a gapful number since it is divisible by the number (12) 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 11246401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761015424).

11246401632 is an abundant number, since it is smaller than the sum of its proper divisors (20275629216).

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

11246401632 is a wasteful number, since it uses less digits than its factorization.

11246401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118532 (or 118524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11246401632 its reverse (23610464211), we get a palindrome (34856865843).

The spelling of 11246401632 in words is "eleven billion, two hundred forty-six million, four hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 184 258 276 344 368 516 552 688 736 989 1032 1104 1376 1978 2064 2208 2967 3956 4128 5934 7912 11868 15824 23736 31648 47472 94944 118453 236906 355359 473812 710718 947624 1421436 1895248 2724419 2842872 3790496 5093479 5448838 5685744 8173257 10186958 10897676 11371488 15280437 16346514 20373916 21795352 30560874 32693028 40747832 43590704 61121748 65386056 81495664 87181408 117150017 122243496 130772112 162991328 234300034 244486992 261544224 351450051 468600068 488973984 702900102 937200136 1405800204 1874400272 2811600408 3748800544 5623200816 11246401632