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11532432032 = 2511891372687
BaseRepresentation
bin10101011110110001…
…01111001010100000
31002202201022020200022
422233120233022200
5142104300311112
65144204013012
7555533024552
oct125730571240
932681266608
1011532432032
114988836970
12229a231168
13111a3266a4
147b58a94d2
154776b1d72
hex2af62f2a0

11532432032 has 96 divisors (see below), whose sum is σ = 25239029760. Its totient is φ = 5143367680.

The previous prime is 11532432013. The next prime is 11532432049. The reversal of 11532432032 is 23023423511.

It is a happy number.

11532432032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11532431992 and 11532432010.

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, 4290593 + ... + 4293279.

It is an arithmetic number, because the mean of its divisors is an integer number (262906560).

Almost surely, 211532432032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619514880).

11532432032 is an abundant number, since it is smaller than the sum of its proper divisors (13706597728).

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

11532432032 is a wasteful number, since it uses less digits than its factorization.

11532432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 11532432032 its reverse (23023423511), we get a palindrome (34555855543).

The spelling of 11532432032 in words is "eleven billion, five hundred thirty-two million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 137 176 178 274 352 356 548 712 979 1096 1424 1507 1958 2192 2687 2848 3014 3916 4384 5374 6028 7832 10748 12056 12193 15664 21496 24112 24386 29557 31328 42992 48224 48772 59114 85984 97544 118228 134123 195088 236456 239143 268246 368119 390176 472912 478286 536492 736238 945824 956572 1072984 1472476 1913144 2145968 2630573 2944952 3826288 4049309 4291936 5261146 5889904 7652576 8098618 10522292 11779808 16197236 21044584 32394472 32762591 42089168 64788944 65525182 84178336 129577888 131050364 262100728 360388501 524201456 720777002 1048402912 1441554004 2883108008 5766216016 11532432032