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407934916681 is a prime number
BaseRepresentation
bin1011110111110101101…
…00001101100001001001
31102222221200111220100211
411323322310031201021
523140422314313211
6511222553001121
741321002402615
oct5737264154111
91388850456324
10407934916681
11148005697786
12670886b31a1
132c611544806
1415a5bd68345
15a928339e21
hex5efad0d849

407934916681 has 2 divisors, whose sum is σ = 407934916682. Its totient is φ = 407934916680.

The previous prime is 407934916619. The next prime is 407934916709. The reversal of 407934916681 is 186619439704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393825278025 + 14109638656 = 627555^2 + 118784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-407934916681 is a prime.

It is a super-2 number, since 2×4079349166812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407934976681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203967458340 + 203967458341.

It is an arithmetic number, because the mean of its divisors is an integer number (203967458341).

Almost surely, 2407934916681 is an apocalyptic number.

It is an amenable number.

407934916681 is a deficient number, since it is larger than the sum of its proper divisors (1).

407934916681 is an equidigital number, since it uses as much as digits as its factorization.

407934916681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 407934916681 in words is "four hundred seven billion, nine hundred thirty-four million, nine hundred sixteen thousand, six hundred eighty-one".