Search a number
-
+
20401665404121 = 32199106671067893
BaseRepresentation
bin1001010001110001000100…
…00001001110110011011001
32200020101021010210011121200
410220320202001032303121
510133230102320412441
6111220221245424413
74203654200435331
oct450704201166331
980211233704550
1020401665404121
116556330283181
122355b9056b109
13b4cb3a9777b1
1450763569c0c1
15255a62a9c7b6
hex128e2204ecd9

20401665404121 has 24 divisors (see below), whose sum is σ = 29619962299200. Its totient is φ = 13531481653536.

The previous prime is 20401665404083. The next prime is 20401665404123. The reversal of 20401665404121 is 12140456610402.

20401665404121 is a `hidden beast` number, since 2 + 0 + 40 + 1 + 66 + 540 + 4 + 12 + 1 = 666.

It is not a de Polignac number, because 20401665404121 - 219 = 20401664879833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20401665404123) 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 23 ways as a sum of consecutive naturals, for example, 18570651 + ... + 19638543.

It is an arithmetic number, because the mean of its divisors is an integer number (1234165095800).

Almost surely, 220401665404121 is an apocalyptic number.

It is an amenable number.

20401665404121 is a deficient number, since it is larger than the sum of its proper divisors (9218296895079).

20401665404121 is a wasteful number, since it uses less digits than its factorization.

20401665404121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078765 (or 1078762 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20401665404121 in words is "twenty trillion, four hundred one billion, six hundred sixty-five million, four hundred four thousand, one hundred twenty-one".

Divisors: 1 3 9 199 597 1791 10667 32001 96003 1067893 2122733 3203679 6368199 9611037 19104597 212510707 637532121 1912596363 11391214631 34173643893 102520931679 2266851711569 6800555134707 20401665404121