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953420018401 is a prime number
BaseRepresentation
bin11011101111111000100…
…00101111001011100001
310101010221110222012010101
431313330100233023201
5111110101011042101
62005554535502401
7125611431304264
oct15677420571341
93333843865111
10953420018401
11338385821334
12134942527a01
136bba3c40556
1434208014cdb
1519c02280401
hexddfc42f2e1

953420018401 has 2 divisors, whose sum is σ = 953420018402. Its totient is φ = 953420018400.

The previous prime is 953420018377. The next prime is 953420018423. The reversal of 953420018401 is 104810024359.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 735690460176 + 217729558225 = 857724^2 + 466615^2 .

It is a cyclic number.

It is not a de Polignac number, because 953420018401 - 27 = 953420018273 is a prime.

It is not a weakly prime, because it can be changed into another prime (953420018471) 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, 476710009200 + 476710009201.

It is an arithmetic number, because the mean of its divisors is an integer number (476710009201).

Almost surely, 2953420018401 is an apocalyptic number.

It is an amenable number.

953420018401 is a deficient number, since it is larger than the sum of its proper divisors (1).

953420018401 is an equidigital number, since it uses as much as digits as its factorization.

953420018401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 953420018401 in words is "nine hundred fifty-three billion, four hundred twenty million, eighteen thousand, four hundred one".