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406379520007 is a prime number
BaseRepresentation
bin1011110100111100001…
…10110110000000000111
31102211221021202120020121
411322132012312000013
523124231124120012
6510404351242411
741234314632466
oct5723606660007
91384837676217
10406379520007
1114738771018a
1266913819407
132c424227956
14159515649dd
15a8869eba07
hex5e9e1b6007

406379520007 has 2 divisors, whose sum is σ = 406379520008. Its totient is φ = 406379520006.

The previous prime is 406379519983. The next prime is 406379520011. The reversal of 406379520007 is 700025973604.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 406379520007 - 223 = 406371131399 is a prime.

It is a super-3 number, since 3×4063795200073 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406379520037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203189760003 + 203189760004.

It is an arithmetic number, because the mean of its divisors is an integer number (203189760004).

Almost surely, 2406379520007 is an apocalyptic number.

406379520007 is a deficient number, since it is larger than the sum of its proper divisors (1).

406379520007 is an equidigital number, since it uses as much as digits as its factorization.

406379520007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 406379520007 in words is "four hundred six billion, three hundred seventy-nine million, five hundred twenty thousand, seven".