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1604987826041 is a prime number
BaseRepresentation
bin10111010110110000101…
…110101010111101111001
312200102202100202022000002
4113112300232222331321
5202244003340413131
63225153215122345
7223646044265645
oct27266056527571
95612670668002
101604987826041
11569742870a76
1221b0832133b5
13b84713b16b2
1457978cddc25
152bb394336cb
hex175b0baaf79

1604987826041 has 2 divisors, whose sum is σ = 1604987826042. Its totient is φ = 1604987826040.

The previous prime is 1604987825999. The next prime is 1604987826121. The reversal of 1604987826041 is 1406287894061.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1550124601600 + 54863224441 = 1245040^2 + 234229^2 .

It is a cyclic number.

It is not a de Polignac number, because 1604987826041 - 238 = 1330109919097 is a prime.

It is a super-3 number, since 3×16049878260413 (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1604987826241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 802493913020 + 802493913021.

It is an arithmetic number, because the mean of its divisors is an integer number (802493913021).

Almost surely, 21604987826041 is an apocalyptic number.

It is an amenable number.

1604987826041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1604987826041 is an equidigital number, since it uses as much as digits as its factorization.

1604987826041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 1604987826041 in words is "one trillion, six hundred four billion, nine hundred eighty-seven million, eight hundred twenty-six thousand, forty-one".