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132353120033415 = 355584318643267
BaseRepresentation
bin11110000101111111011100…
…101101000101101010000111
3122100121211112111111110100000
4132011333130231011222013
5114321433142212032130
61145254103422452343
736610124461031241
oct3605773455055207
9570554474443300
10132353120033415
1139198708902676
1212a16b081340b3
1358b0acbc08598
142497cd4a11091
151047c1d47e260
hex785fdcb45a87

132353120033415 has 48 divisors (see below), whose sum is σ = 237949547891328. Its totient is φ = 70576246061856.

The previous prime is 132353120033371. The next prime is 132353120033417. The reversal of 132353120033415 is 514330021353231.

132353120033415 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 3 + 1 + 200 + 33 + 415 = 666.

It is not a de Polignac number, because 132353120033415 - 214 = 132353120017031 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132353120033415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132353120033417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2222389 + ... + 16420878.

It is an arithmetic number, because the mean of its divisors is an integer number (4957282247736).

Almost surely, 2132353120033415 is an apocalyptic number.

132353120033415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132353120033415 is a deficient number, since it is larger than the sum of its proper divisors (105596427857913).

132353120033415 is an equidigital number, since it uses as much as digits as its factorization.

132353120033415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18649130 (or 18649118 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 132353120033415 its reverse (514330021353231), we get a palindrome (646683141386646).

The spelling of 132353120033415 in words is "one hundred thirty-two trillion, three hundred fifty-three billion, one hundred twenty million, thirty-three thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 5843 17529 29215 52587 87645 157761 262935 473283 788805 1419849 2366415 7099245 18643267 55929801 93216335 167789403 279649005 503368209 838947015 1510104627 2516841045 4530313881 7550523135 22651569405 108932609081 326797827243 544663045405 980393481729 1633989136215 2941180445187 4901967408645 8823541335561 14705902225935 26470624006683 44117706677805 132353120033415