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11511522132 = 22311732414957
BaseRepresentation
bin10101011100010001…
…11110001101010100
31002201020221220200120
422232020332031110
5142033422202012
65142135511540
7555160216005
oct125610761524
932636856616
1011511522132
114977a54a60
1222932285b0
131115bb5076
147b2bc51ac
1547593158c
hex2ae23e354

11511522132 has 96 divisors (see below), whose sum is σ = 29832722304. Its totient is φ = 3425587200.

The previous prime is 11511522109. The next prime is 11511522173. The reversal of 11511522132 is 23122511511.

11511522132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2319798 + ... + 2324754.

It is an arithmetic number, because the mean of its divisors is an integer number (310757524).

Almost surely, 211511522132 is an apocalyptic number.

11511522132 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 11511522132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916361152).

11511522132 is an abundant number, since it is smaller than the sum of its proper divisors (18321200172).

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

11511522132 is a wasteful number, since it uses less digits than its factorization.

11511522132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5287 counting only the distinct ones).

The product of its digits is 600, while the sum is 24.

The spelling of 11511522132 in words is "eleven billion, five hundred eleven million, five hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 241 292 438 482 723 803 876 964 1446 1606 2409 2651 2892 3212 4818 4957 5302 7953 9636 9914 10604 14871 15906 17593 19828 29742 31812 35186 52779 54527 59484 70372 105558 109054 163581 193523 211116 218108 327162 361861 387046 580569 654324 723722 774092 1085583 1161138 1194637 1447444 2171166 2322276 2389274 3583911 3980471 4342332 4778548 7167822 7960942 11941413 13141007 14335644 15921884 23882826 26282014 39423021 47765652 52564028 78846042 87208501 157692084 174417002 261625503 348834004 523251006 959293511 1046502012 1918587022 2877880533 3837174044 5755761066 11511522132