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46873557001 is a prime number
BaseRepresentation
bin101011101001111000…
…011011100000001001
311110222200212102002201
4223221320123200021
51231444112311001
633311115000201
73246366442405
oct535170334011
9143880772081
1046873557001
11189739a0167
129101a39061
134560116a5b
1423a9412105
151345176501
hexae9e1b809

46873557001 has 2 divisors, whose sum is σ = 46873557002. Its totient is φ = 46873557000.

The previous prime is 46873556971. The next prime is 46873557011. The reversal of 46873557001 is 10075537864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27042158025 + 19831398976 = 164445^2 + 140824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46873557001 is a prime.

It is a super-2 number, since 2×468735570012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46873557011) 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, 23436778500 + 23436778501.

It is an arithmetic number, because the mean of its divisors is an integer number (23436778501).

Almost surely, 246873557001 is an apocalyptic number.

It is an amenable number.

46873557001 is a deficient number, since it is larger than the sum of its proper divisors (1).

46873557001 is an equidigital number, since it uses as much as digits as its factorization.

46873557001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 46873557001 in words is "forty-six billion, eight hundred seventy-three million, five hundred fifty-seven thousand, one".