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1327752577231 = 13814871197381
BaseRepresentation
bin10011010100100100001…
…110001000000011001111
311200221011100201110010221
4103110210032020003033
5133223214124432411
62453543333412211
7164632642456303
oct23244416100317
94627140643127
101327752577231
11472107796233
121953b179a067
139828b995882
144839932dd03
15248105b6071
hex135243880cf

1327752577231 has 8 divisors (see below), whose sum is σ = 1328993533728. Its totient is φ = 1326512028000.

The previous prime is 1327752577219. The next prime is 1327752577301.

1327752577231 is nontrivially palindromic in base 10.

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 1327752577231 - 25 = 1327752577199 is a prime.

It is a super-2 number, since 2×13277525772312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327752577831) by changing a digit.

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, 6628161 + ... + 6825541.

It is an arithmetic number, because the mean of its divisors is an integer number (166124191716).

Almost surely, 21327752577231 is an apocalyptic number.

1327752577231 is a deficient number, since it is larger than the sum of its proper divisors (1240956497).

1327752577231 is a wasteful number, since it uses less digits than its factorization.

1327752577231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203633.

The product of its digits is 4321800, while the sum is 52.

The spelling of 1327752577231 in words is "one trillion, three hundred twenty-seven billion, seven hundred fifty-two million, five hundred seventy-seven thousand, two hundred thirty-one".

Divisors: 1 1381 4871 197381 6726851 272583161 961442851 1327752577231