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132715917017 = 173775798897
BaseRepresentation
bin111101110011001111…
…1000010111011011001
3110200120012102010100222
41323212133002323121
54133300233321032
6140545134405425
712405552452525
oct1734637027331
9420505363328
10132715917017
1151314747852
122187a360875
13c690772118
1465d0082d85
1536bb4dea12
hex1ee67c2ed9

132715917017 has 8 divisors (see below), whose sum is σ = 133501619016. Its totient is φ = 131930428672.

The previous prime is 132715916987. The next prime is 132715917133. The reversal of 132715917017 is 710719517231.

It can be written as a sum of positive squares in 4 ways, for example, as 67685306896 + 65030610121 = 260164^2 + 255011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132715917017 - 212 = 132715912921 is a prime.

It is a super-2 number, since 2×1327159170172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132715917317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292513 + ... + 1391409.

It is an arithmetic number, because the mean of its divisors is an integer number (16687702377).

Almost surely, 2132715917017 is an apocalyptic number.

It is an amenable number.

132715917017 is a deficient number, since it is larger than the sum of its proper divisors (785701999).

132715917017 is an equidigital number, since it uses as much as digits as its factorization.

132715917017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106827.

The product of its (nonzero) digits is 92610, while the sum is 44.

The spelling of 132715917017 in words is "one hundred thirty-two billion, seven hundred fifteen million, nine hundred seventeen thousand, seventeen".

Divisors: 1 173 7757 98897 1341961 17109181 767144029 132715917017