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35782865381 is a prime number
BaseRepresentation
bin100001010100110100…
…110011000111100101
310102100202202220100102
4201110310303013211
51041240403143011
624234410553445
72404506223454
oct412464630745
9112322686312
1035782865381
11141a254941a
126b27738885
1334b3487733
141a36494b9b
15de667073b
hex854d331e5

35782865381 has 2 divisors, whose sum is σ = 35782865382. Its totient is φ = 35782865380.

The previous prime is 35782865369. The next prime is 35782865383. The reversal of 35782865381 is 18356828753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34631349025 + 1151516356 = 186095^2 + 33934^2 .

It is an emirp because it is prime and its reverse (18356828753) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35782865381 - 26 = 35782865317 is a prime.

It is a super-2 number, since 2×357828653812 (a number of 22 digits) contains 22 as substring.

Together with 35782865383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35782865383) 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 as a sum of consecutive naturals, namely, 17891432690 + 17891432691.

It is an arithmetic number, because the mean of its divisors is an integer number (17891432691).

Almost surely, 235782865381 is an apocalyptic number.

It is an amenable number.

35782865381 is a deficient number, since it is larger than the sum of its proper divisors (1).

35782865381 is an equidigital number, since it uses as much as digits as its factorization.

35782865381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9676800, while the sum is 56.

The spelling of 35782865381 in words is "thirty-five billion, seven hundred eighty-two million, eight hundred sixty-five thousand, three hundred eighty-one".