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132838330517281 = 1723794933283901
BaseRepresentation
bin11110001101000011010101…
…100000001100011100100001
3122102100012221122121220110201
4132031003111200030130201
5114402410400103023111
61150305030411225201
736660152444062024
oct3615032540143441
9572305848556421
10132838330517281
1139365468541764
1212a94b60148201
1359177a6cc547c
1424b35a39611bb
15105566a9c86c1
hex78d0d580c721

132838330517281 has 8 divisors (see below), whose sum is σ = 140652451900584. Its totient is φ = 125024220460800.

The previous prime is 132838330517279. The next prime is 132838330517309. The reversal of 132838330517281 is 182715033838231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11098332565056 + 121739997952225 = 3331416^2 + 11033585^2 .

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 132838330517281 - 21 = 132838330517279 is a prime.

It is a super-2 number, since 2×1328383305172812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132838330512281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38809431 + ... + 42093331.

It is an arithmetic number, because the mean of its divisors is an integer number (17581556487573).

Almost surely, 2132838330517281 is an apocalyptic number.

It is an amenable number.

132838330517281 is a deficient number, since it is larger than the sum of its proper divisors (7814121383303).

132838330517281 is a wasteful number, since it uses less digits than its factorization.

132838330517281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663411.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 132838330517281 in words is "one hundred thirty-two trillion, eight hundred thirty-eight billion, three hundred thirty million, five hundred seventeen thousand, two hundred eighty-one".

Divisors: 1 17 2379493 3283901 40451381 55826317 7814019442193 132838330517281