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1072866401 is a prime number
BaseRepresentation
bin111111111100101…
…010010001100001
32202202210021000122
4333330222101201
54144123211101
6254243130025
735405133245
oct7774522141
92682707018
101072866401
11500672452
1225b373915
131413705b9
14a26b8425
15642c651b
hex3ff2a461

1072866401 has 2 divisors, whose sum is σ = 1072866402. Its totient is φ = 1072866400.

The previous prime is 1072866391. The next prime is 1072866427. The reversal of 1072866401 is 1046682701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1014741025 + 58125376 = 31855^2 + 7624^2 .

It is an emirp because it is prime and its reverse (1046682701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1072866401 - 222 = 1068672097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1072866451) 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, 536433200 + 536433201.

It is an arithmetic number, because the mean of its divisors is an integer number (536433201).

Almost surely, 21072866401 is an apocalyptic number.

It is an amenable number.

1072866401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072866401 is an equidigital number, since it uses as much as digits as its factorization.

1072866401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1072866401 is about 32754.6393813151. The cubic root of 1072866401 is about 1023.7216348588.

It can be divided in two parts, 107286 and 6401, that multiplied together give a palindrome (686737686).

The spelling of 1072866401 in words is "one billion, seventy-two million, eight hundred sixty-six thousand, four hundred one".