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200465046441 = 32112184081769
BaseRepresentation
bin1011101010110010100…
…1011101101110101001
3201011102202100111021200
42322230221131232221
511241023022441231
6232031541354413
720324465531352
oct2725451355651
9634382314250
10200465046441
1178020324500
1232a27408a09
1315b9978669a
1499b9b78d29
1553341d5be6
hex2eaca5dba9

200465046441 has 18 divisors (see below), whose sum is σ = 318277380330. Its totient is φ = 121493966880.

The previous prime is 200465046377. The next prime is 200465046487. The reversal of 200465046441 is 144640564002.

200465046441 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 6 + 5 + 0 + 4 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111529281600 + 88935764841 = 333960^2 + 298221^2 .

It is not a de Polignac number, because 200465046441 - 26 = 200465046377 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200465046396 and 200465046405.

It is not an unprimeable number, because it can be changed into a prime (200465046241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92039796 + ... + 92041973.

It is an arithmetic number, because the mean of its divisors is an integer number (17682076685).

Almost surely, 2200465046441 is an apocalyptic number.

It is an amenable number.

200465046441 is a deficient number, since it is larger than the sum of its proper divisors (117812333889).

200465046441 is a wasteful number, since it uses less digits than its factorization.

200465046441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184081797 (or 184081783 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 200465046441 in words is "two hundred billion, four hundred sixty-five million, forty-six thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 184081769 552245307 1656735921 2024899459 6074698377 18224095131 22273894049 66821682147 200465046441