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378131687509 is a prime number
BaseRepresentation
bin1011000000010100110…
…01111010100001010101
31100011000122110222211011
411200022121322201111
522143403203000014
6445413350212221
736214312211632
oct5401231724125
91304018428734
10378131687509
11136401530574
126134b654071
1329871b75c74
1414431b01189
159c81b2d7c4
hex580a67a855

378131687509 has 2 divisors, whose sum is σ = 378131687510. Its totient is φ = 378131687508.

The previous prime is 378131687431. The next prime is 378131687513. The reversal of 378131687509 is 905786131873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377991336100 + 140351409 = 614810^2 + 11847^2 .

It is a cyclic number.

It is not a de Polignac number, because 378131687509 - 29 = 378131686997 is a prime.

It is a super-3 number, since 3×3781316875093 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (378131687539) 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, 189065843754 + 189065843755.

It is an arithmetic number, because the mean of its divisors is an integer number (189065843755).

Almost surely, 2378131687509 is an apocalyptic number.

It is an amenable number.

378131687509 is a deficient number, since it is larger than the sum of its proper divisors (1).

378131687509 is an equidigital number, since it uses as much as digits as its factorization.

378131687509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 378131687509 in words is "three hundred seventy-eight billion, one hundred thirty-one million, six hundred eighty-seven thousand, five hundred nine".