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407829123523 is a prime number
BaseRepresentation
bin1011110111101001000…
…00101001000111000011
31102222200022110001102201
411323310200221013003
523140213223423043
6511204253254031
741315246232013
oct5736440510703
91388608401381
10407829123523
11147a609a9818
1267059194317
132c5c5653203
1415a4bca9c43
15a91ddddc4d
hex5ef48291c3

407829123523 has 2 divisors, whose sum is σ = 407829123524. Its totient is φ = 407829123522.

The previous prime is 407829123521. The next prime is 407829123571. The reversal of 407829123523 is 325321928704.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 407829123523 - 21 = 407829123521 is a prime.

Together with 407829123521, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (407829123521) 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, 203914561761 + 203914561762.

It is an arithmetic number, because the mean of its divisors is an integer number (203914561762).

Almost surely, 2407829123523 is an apocalyptic number.

407829123523 is a deficient number, since it is larger than the sum of its proper divisors (1).

407829123523 is an equidigital number, since it uses as much as digits as its factorization.

407829123523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 407829123523 in words is "four hundred seven billion, eight hundred twenty-nine million, one hundred twenty-three thousand, five hundred twenty-three".