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2042123677567 is a prime number
BaseRepresentation
bin11101101101111000000…
…011100110111101111111
321020020002002222101102021
4131231320003212331333
5231424232130140232
64202045541341011
7300352504566451
oct35557003467577
97206062871367
102042123677567
1171807263a256
1228b93b107767
1311a7575a4a7c
1470ba710c2d1
15381c1157397
hex1db780e6f7f

2042123677567 has 2 divisors, whose sum is σ = 2042123677568. Its totient is φ = 2042123677566.

The previous prime is 2042123677541. The next prime is 2042123677579. The reversal of 2042123677567 is 7657763212402.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2042123677567 is a prime.

It is a super-2 number, since 2×20421236775672 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042123677597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021061838783 + 1021061838784.

It is an arithmetic number, because the mean of its divisors is an integer number (1021061838784).

Almost surely, 22042123677567 is an apocalyptic number.

2042123677567 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042123677567 is an equidigital number, since it uses as much as digits as its factorization.

2042123677567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 52.

Adding to 2042123677567 its reverse (7657763212402), we get a palindrome (9699886889969).

The spelling of 2042123677567 in words is "two trillion, forty-two billion, one hundred twenty-three million, six hundred seventy-seven thousand, five hundred sixty-seven".