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1872427964801 is a prime number
BaseRepresentation
bin11011001111110101011…
…001110101100110000001
320122000001201112222220112
4123033311121311212001
5221134213024333201
63552103113321105
7252164340045212
oct33176531654601
96560051488815
101872427964801
11662101854639
12262a80406195
131077526ba004
14668a9a43409
1533a8d3b60bb
hex1b3f5675981

1872427964801 has 2 divisors, whose sum is σ = 1872427964802. Its totient is φ = 1872427964800.

The previous prime is 1872427964789. The next prime is 1872427964831. The reversal of 1872427964801 is 1084697242781.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1872036914176 + 391050625 = 1368224^2 + 19775^2 .

It is an emirp because it is prime and its reverse (1084697242781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1872427964801 - 230 = 1871354222977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1872427964831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 936213982400 + 936213982401.

It is an arithmetic number, because the mean of its divisors is an integer number (936213982401).

Almost surely, 21872427964801 is an apocalyptic number.

It is an amenable number.

1872427964801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1872427964801 is an equidigital number, since it uses as much as digits as its factorization.

1872427964801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 1872427964801 in words is "one trillion, eight hundred seventy-two billion, four hundred twenty-seven million, nine hundred sixty-four thousand, eight hundred one".