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406700036137 is a prime number
BaseRepresentation
bin1011110101100010011…
…01100001000000101001
31102212202121212110201101
411322301031201000221
523130410202124022
6510500241121401
741245256161033
oct5726115410051
91385677773641
10406700036137
1114753162774a
12669a3029261
132c475759a75
1415981d58c53
15a8a4c0e627
hex5eb1361029

406700036137 has 2 divisors, whose sum is σ = 406700036138. Its totient is φ = 406700036136.

The previous prime is 406700036107. The next prime is 406700036143. The reversal of 406700036137 is 731630007604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 390655000576 + 16045035561 = 625024^2 + 126669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406700036137 is a prime.

It is a super-3 number, since 3×4067000361373 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406700036096 and 406700036105.

It is not a weakly prime, because it can be changed into another prime (406700036107) 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, 203350018068 + 203350018069.

It is an arithmetic number, because the mean of its divisors is an integer number (203350018069).

Almost surely, 2406700036137 is an apocalyptic number.

It is an amenable number.

406700036137 is a deficient number, since it is larger than the sum of its proper divisors (1).

406700036137 is an equidigital number, since it uses as much as digits as its factorization.

406700036137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 406700036137 in words is "four hundred six billion, seven hundred million, thirty-six thousand, one hundred thirty-seven".