Search a number
-
+
1220858846001 = 32564124047329
BaseRepresentation
bin10001110001000000110…
…110111001101100110001
311022201020202022021110100
4101301000312321230301
5130000304331033001
62332504350023013
7154130006653104
oct21610066715461
94281222267410
101220858846001
11430843a998a3
1217873b1a7a69
138b184baa132
14431388d673b
1521b56054586
hex11c40db9b31

1220858846001 has 12 divisors (see below), whose sum is σ = 1763775466180. Its totient is φ = 813761579520.

The previous prime is 1220858845951. The next prime is 1220858846017. The reversal of 1220858846001 is 1006488580221.

1220858846001 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 8 + 588 + 4 + 60 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1061262590976 + 159596255025 = 1030176^2 + 399495^2 .

It is a de Polignac number, because none of the positive numbers 2k-1220858846001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220858846101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11972896 + ... + 12074433.

Almost surely, 21220858846001 is an apocalyptic number.

It is an amenable number.

1220858846001 is a deficient number, since it is larger than the sum of its proper divisors (542916620179).

1220858846001 is a wasteful number, since it uses less digits than its factorization.

1220858846001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052976 (or 24052973 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1220858846001 in words is "one trillion, two hundred twenty billion, eight hundred fifty-eight million, eight hundred forty-six thousand, one".

Divisors: 1 3 9 5641 16923 50769 24047329 72141987 216425961 135650982889 406952948667 1220858846001