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946040978081 is a prime number
BaseRepresentation
bin11011100010001000110…
…11111011101010100001
310100102220020000002202202
431301010123323222201
5110444442442244311
62002334421222545
7125230530430223
oct15610433735241
93312806002682
10946040978081
11335239518101
12133423261a55
136b2992541c4
1433b07dcc413
151991e542e3b
hexdc446fbaa1

946040978081 has 2 divisors, whose sum is σ = 946040978082. Its totient is φ = 946040978080.

The previous prime is 946040978023. The next prime is 946040978101. The reversal of 946040978081 is 180879040649.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 867505960000 + 78535018081 = 931400^2 + 280241^2 .

It is an emirp because it is prime and its reverse (180879040649) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-946040978081 is a prime.

It is a super-2 number, since 2×9460409780812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (946040978381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473020489040 + 473020489041.

It is an arithmetic number, because the mean of its divisors is an integer number (473020489041).

Almost surely, 2946040978081 is an apocalyptic number.

It is an amenable number.

946040978081 is a deficient number, since it is larger than the sum of its proper divisors (1).

946040978081 is an equidigital number, since it uses as much as digits as its factorization.

946040978081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 946040978081 in words is "nine hundred forty-six billion, forty million, nine hundred seventy-eight thousand, eighty-one".