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400516651455157 is a prime number
BaseRepresentation
bin101101100010001001000110…
…0101111001001001010110101
31221112010000111002010101122201
41123010102030233021022311
5404444031100233031112
63535454450512424501
7150235241664556336
oct13304221457111265
91845100432111581
10400516651455157
11106687181331886
1238b06988248131
13142637343c5173
1470c917613c28d
153148555a3b257
hex16c448cbc92b5

400516651455157 has 2 divisors, whose sum is σ = 400516651455158. Its totient is φ = 400516651455156.

The previous prime is 400516651455131. The next prime is 400516651455191. The reversal of 400516651455157 is 751554156615004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396658448033796 + 3858203421361 = 19916286^2 + 1964231^2 .

It is a cyclic number.

It is not a de Polignac number, because 400516651455157 - 227 = 400516517237429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400516651455098 and 400516651455107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400516651425157) 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, 200258325727578 + 200258325727579.

It is an arithmetic number, because the mean of its divisors is an integer number (200258325727579).

Almost surely, 2400516651455157 is an apocalyptic number.

It is an amenable number.

400516651455157 is a deficient number, since it is larger than the sum of its proper divisors (1).

400516651455157 is an equidigital number, since it uses as much as digits as its factorization.

400516651455157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600000, while the sum is 55.

The spelling of 400516651455157 in words is "four hundred trillion, five hundred sixteen billion, six hundred fifty-one million, four hundred fifty-five thousand, one hundred fifty-seven".