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1000655161641 = 331971271101377
BaseRepresentation
bin11101000111110111011…
…00100000100100101001
310112122212101020002022000
432203323230200210221
5112343320210133031
62043410012521213
7132203111351202
oct16437354404451
93478771202260
101000655161641
1135641482a5a3
12141b25480209
1373490c39055
143660946c5a9
151b06902d3e6
hexe8fbb20929

1000655161641 has 64 divisors (see below), whose sum is σ = 1588309401600. Its totient is φ = 620786073600.

The previous prime is 1000655161637. The next prime is 1000655161651. The reversal of 1000655161641 is 1461615560001.

1000655161641 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 5 + 5 + 1 + 6 + 1 + 641 = 666.

1000655161641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000655161641 - 22 = 1000655161637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000655161596 and 1000655161605.

It is not an unprimeable number, because it can be changed into a prime (1000655161631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9819945 + ... + 9921321.

It is an arithmetic number, because the mean of its divisors is an integer number (24817334400).

Almost surely, 21000655161641 is an apocalyptic number.

It is an amenable number.

1000655161641 is a deficient number, since it is larger than the sum of its proper divisors (587654239959).

1000655161641 is a wasteful number, since it uses less digits than its factorization.

1000655161641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101747 (or 101741 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1000655161641 in words is "one trillion, six hundred fifty-five million, one hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 9 19 27 57 71 171 213 271 513 639 813 1349 1917 2439 4047 5149 7317 12141 15447 19241 36423 46341 57723 101377 139023 173169 304131 365579 519507 912393 1096737 1926163 2737179 3290211 5778489 7197767 9870633 17335467 21593301 27473167 52006401 64779903 82419501 136757573 194339709 247258503 410272719 521990173 741775509 1230818157 1565970519 1950594857 3692454471 4697911557 5851784571 14093734671 17555353713 37061302283 52666061139 111183906849 333551720547 1000655161641