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205041167442 = 232929104911689
BaseRepresentation
bin1011111011110101100…
…1111110110001010010
3201121020200010112011200
42332331121332301102
511324411014324232
6234110011452030
720546053111116
oct2767531766122
9647220115150
10205041167442
1179a59436991
12338a3a57016
1316448862aa7
149cd181b746
155500d0d77c
hex2fbd67ec52

205041167442 has 48 divisors (see below), whose sum is σ = 445196115000. Its totient is φ = 68202565632.

The previous prime is 205041167437. The next prime is 205041167453. The reversal of 205041167442 is 244761140502.

205041167442 is a `hidden beast` number, since 2 + 0 + 50 + 4 + 1 + 167 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201510312201 + 3530855241 = 448899^2 + 59421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205041167397 and 205041167406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17535534 + ... + 17547222.

Almost surely, 2205041167442 is an apocalyptic number.

205041167442 is an abundant number, since it is smaller than the sum of its proper divisors (240154947558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205041167442 is a wasteful number, since it uses less digits than its factorization.

205041167442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 205041167442 in words is "two hundred five billion, forty-one million, one hundred sixty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 929 1049 1858 2098 2787 3147 5574 6294 8361 9441 11689 16722 18882 23378 35067 70134 105201 210402 974521 1949042 2923563 5847126 8770689 10859081 12261761 17541378 21718162 24523522 32577243 36785283 65154486 73570566 97731729 110355849 195463458 220711698 11391175969 22782351938 34173527907 68347055814 102520583721 205041167442