Search a number
-
+
1325242664001 = 3222925114991709
BaseRepresentation
bin10011010010001110100…
…111100100010001000001
311200200200102212122110200
4103102032213210101001
5133203044110222001
62452450313315413
7164513514532104
oct23221647442101
94620612778420
101325242664001
11471039a31283
12194a11105b69
1397c7b9a5209
14481dbc5c73b
152471507d086
hex1348e9e4441

1325242664001 has 48 divisors (see below), whose sum is σ = 1932676200000. Its totient is φ = 875035728000.

The previous prime is 1325242663999. The next prime is 1325242664017. The reversal of 1325242664001 is 1004662425231.

1325242664001 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 4 + 2 + 6 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 1325242664001 - 21 = 1325242663999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1325242664021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775448335 + ... + 775450043.

It is an arithmetic number, because the mean of its divisors is an integer number (40264087500).

Almost surely, 21325242664001 is an apocalyptic number.

It is an amenable number.

1325242664001 is a deficient number, since it is larger than the sum of its proper divisors (607433535999).

1325242664001 is a wasteful number, since it uses less digits than its factorization.

1325242664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1325242664001 in words is "one trillion, three hundred twenty-five billion, two hundred forty-two million, six hundred sixty-four thousand, one".

Divisors: 1 3 9 229 251 687 753 1499 1709 2061 2259 4497 5127 13491 15381 57479 172437 343271 376249 391361 428959 517311 1029813 1128747 1174083 1286877 2561791 3089439 3386241 3522249 3860631 7685373 23056119 86161021 98231611 258483063 294694833 586650139 643009541 775449189 884084499 1759950417 1929028623 5279851251 5787085869 147249184889 441747554667 1325242664001