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633741416641 is a prime number
BaseRepresentation
bin10010011100011011110…
…11101001100011000001
32020120210112021121122001
421032031323221203001
540340400300313031
61203045313544001
763533463106054
oct11161573514301
92216715247561
10633741416641
1122484a5652a3
12a29a6875001
13479b91b77b8
142295d570a9b
151174218e861
hex938dee98c1

633741416641 has 2 divisors, whose sum is σ = 633741416642. Its totient is φ = 633741416640.

The previous prime is 633741416587. The next prime is 633741416741. The reversal of 633741416641 is 146614147336.

It is a happy number.

633741416641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321824751616 + 311916665025 = 567296^2 + 558495^2 .

It is a cyclic number.

It is not a de Polignac number, because 633741416641 - 233 = 625151482049 is a prime.

It is a super-2 number, since 2×6337414166412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 633741416591 and 633741416600.

It is not a weakly prime, because it can be changed into another prime (633741416741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 316870708320 + 316870708321.

It is an arithmetic number, because the mean of its divisors is an integer number (316870708321).

Almost surely, 2633741416641 is an apocalyptic number.

It is an amenable number.

633741416641 is a deficient number, since it is larger than the sum of its proper divisors (1).

633741416641 is an equidigital number, since it uses as much as digits as its factorization.

633741416641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 870912, while the sum is 46.

The spelling of 633741416641 in words is "six hundred thirty-three billion, seven hundred forty-one million, four hundred sixteen thousand, six hundred forty-one".