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132252001250336 = 25111452532586631
BaseRepresentation
bin11110000100100001010001…
…100011100010110000100000
3122100021011112100200001012222
4132010201101203202300200
5114313304044310002321
61145135421452210212
736566614610406422
oct3604412143426040
9570234470601188
10132252001250336
11391598389a3260
12129bb3a7769968
1358a440569c926
142493061162812
1510452a0ded3ab
hex7848518e2c20

132252001250336 has 48 divisors (see below), whose sum is σ = 284043295263168. Its totient is φ = 60114108921600.

The previous prime is 132252001250323. The next prime is 132252001250359. The reversal of 132252001250336 is 633052100252231.

It is a super-2 number, since 2×1322520012503362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132252001250296 and 132252001250305.

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 7 ways as a sum of consecutive naturals, for example, 49835741 + ... + 52422371.

It is an arithmetic number, because the mean of its divisors is an integer number (5917568651316).

Almost surely, 2132252001250336 is an apocalyptic number.

132252001250336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132252001250336 is an abundant number, since it is smaller than the sum of its proper divisors (151791294012832).

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

132252001250336 is a wasteful number, since it uses less digits than its factorization.

132252001250336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731905 (or 2731897 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 132252001250336 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, one million, two hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 145253 290506 581012 1162024 1597783 2324048 2586631 3195566 4648096 5173262 6391132 10346524 12782264 20693048 25564528 28452941 41386096 51129056 56905882 82772192 113811764 227623528 455247056 910494112 375715912643 751431825286 1502863650572 3005727301144 4132875039073 6011454602288 8265750078146 12022909204576 16531500156292 33063000312584 66126000625168 132252001250336