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382540952977 is a prime number
BaseRepresentation
bin1011001000100010011…
…01111011010110010001
31100120101221021212221121
411210101031323112101
522231420440443402
6451423100122241
736431502310201
oct5442115732621
91316357255847
10382540952977
11138264438a17
1262180236381
132a0c55013a1
141472d54c401
159e3dc97837
hex591137b591

382540952977 has 2 divisors, whose sum is σ = 382540952978. Its totient is φ = 382540952976.

The previous prime is 382540952939. The next prime is 382540953079. The reversal of 382540952977 is 779259045283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259851179536 + 122689773441 = 509756^2 + 350271^2 .

It is a cyclic number.

It is not a de Polignac number, because 382540952977 - 223 = 382532564369 is a prime.

It is not a weakly prime, because it can be changed into another prime (382540952177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191270476488 + 191270476489.

It is an arithmetic number, because the mean of its divisors is an integer number (191270476489).

Almost surely, 2382540952977 is an apocalyptic number.

It is an amenable number.

382540952977 is a deficient number, since it is larger than the sum of its proper divisors (1).

382540952977 is an equidigital number, since it uses as much as digits as its factorization.

382540952977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 382540952977 in words is "three hundred eighty-two billion, five hundred forty million, nine hundred fifty-two thousand, nine hundred seventy-seven".