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400407005797 is a prime number
BaseRepresentation
bin1011101001110100001…
…11100000101001100101
31102021112001102101222121
411310322013200221211
523030013143141142
6503535555425541
740633313251561
oct5647207405145
91367461371877
10400407005797
111448a2352927
12657275b52b1
132b9b1a63686
141554626c6a1
15a6374e2c67
hex5d3a1e0a65

400407005797 has 2 divisors, whose sum is σ = 400407005798. Its totient is φ = 400407005796.

The previous prime is 400407005783. The next prime is 400407005807. The reversal of 400407005797 is 797500704004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231013848321 + 169393157476 = 480639^2 + 411574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400407005797 is a prime.

It is a super-3 number, since 3×4004070057973 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400407005737) 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, 200203502898 + 200203502899.

It is an arithmetic number, because the mean of its divisors is an integer number (200203502899).

Almost surely, 2400407005797 is an apocalyptic number.

It is an amenable number.

400407005797 is a deficient number, since it is larger than the sum of its proper divisors (1).

400407005797 is an equidigital number, since it uses as much as digits as its factorization.

400407005797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 400407005797 in words is "four hundred billion, four hundred seven million, five thousand, seven hundred ninety-seven".