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11532451008 = 263138395507
BaseRepresentation
bin10101011110110001…
…10011110011000000
31002202201100012201010
422233120303303000
5142104301413013
65144204240520
7555533134101
oct125730636300
932681305633
1011532451008
11498884a151
12229a240140
13111a332210
147b58b23a8
154776b77c3
hex2af633cc0

11532451008 has 112 divisors (see below), whose sum is σ = 32905232640. Its totient is φ = 3543573504.

The previous prime is 11532450997. The next prime is 11532451061. The reversal of 11532451008 is 80015423511.

11532451008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2091391 + ... + 2096897.

It is an arithmetic number, because the mean of its divisors is an integer number (293796720).

Almost surely, 211532451008 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 11532451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452616320).

11532451008 is an abundant number, since it is smaller than the sum of its proper divisors (21372781632).

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

11532451008 is a wasteful number, since it uses less digits than its factorization.

11532451008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 11532451008 its reverse (80015423511), we get a palindrome (91547874519).

The spelling of 11532451008 in words is "eleven billion, five hundred thirty-two million, four hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 839 1248 1678 2496 2517 3356 5034 5507 6712 10068 10907 11014 13424 16521 20136 21814 22028 26848 32721 33042 40272 43628 44056 53696 65442 66084 71591 80544 87256 88112 130884 132168 143182 161088 174512 176224 214773 261768 264336 286364 349024 352448 429546 523536 528672 572728 698048 859092 1047072 1057344 1145456 1718184 2094144 2290912 3436368 4581824 4620373 6872736 9240746 13745472 13861119 18481492 27722238 36962984 55444476 60064849 73925968 110888952 120129698 147851936 180194547 221777904 240259396 295703872 360389094 443555808 480518792 720778188 887111616 961037584 1441556376 1922075168 2883112752 3844150336 5766225504 11532451008