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1382864682831 = 31742164406161
BaseRepresentation
bin10100000111111001001…
…010000111111101001111
311220012102012212111022020
4110013321022013331033
5140124101324322311
62535140153221223
7201623450601102
oct24077112077517
94805365774266
101382864682831
11493519075945
121a4012701813
13a0532885a48
144ad06984739
1525e88b58c06
hex141f9287f4f

1382864682831 has 16 divisors (see below), whose sum is σ = 1956916826208. Its totient is φ = 865618790400.

The previous prime is 1382864682811. The next prime is 1382864682839.

1382864682831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1382864682831 - 223 = 1382856294223 is a prime.

It is a super-2 number, since 2×13828646828312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382864682839) 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 15 ways as a sum of consecutive naturals, for example, 32181610 + ... + 32224551.

It is an arithmetic number, because the mean of its divisors is an integer number (122307301638).

Almost surely, 21382864682831 is an apocalyptic number.

1382864682831 is a deficient number, since it is larger than the sum of its proper divisors (574052143377).

1382864682831 is a wasteful number, since it uses less digits than its factorization.

1382864682831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64406602.

The product of its digits is 21233664, while the sum is 60.

The spelling of 1382864682831 in words is "one trillion, three hundred eighty-two billion, eight hundred sixty-four million, six hundred eighty-two thousand, eight hundred thirty-one".

Divisors: 1 3 17 51 421 1263 7157 21471 64406161 193218483 1094904737 3284714211 27114993781 81344981343 460954894277 1382864682831