Search a number
-
+
1005217020557 = 7917373550671
BaseRepresentation
bin11101010000010111001…
…10100111101010001101
310120002122022011112021122
432220023212213222031
5112432141024124212
62045442413210325
7132424133460341
oct16501346475215
93502568145248
101005217020557
11358345890732
121429991909a5
1373a3a090959
143691d27b621
151b23478a272
hexea0b9a7a8d

1005217020557 has 8 divisors (see below), whose sum is σ = 1023825354240. Its totient is φ = 986755788720.

The previous prime is 1005217020539. The next prime is 1005217020569. The reversal of 1005217020557 is 7550207125001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005217020557 - 210 = 1005217019533 is a prime.

It is a super-2 number, since 2×10052170205572 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005217520557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36761669 + ... + 36789002.

It is an arithmetic number, because the mean of its divisors is an integer number (127978169280).

Almost surely, 21005217020557 is an apocalyptic number.

It is an amenable number.

1005217020557 is a deficient number, since it is larger than the sum of its proper divisors (18608333683).

1005217020557 is an equidigital number, since it uses as much as digits as its factorization.

1005217020557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73550923.

The product of its (nonzero) digits is 24500, while the sum is 35.

The spelling of 1005217020557 in words is "one trillion, five billion, two hundred seventeen million, twenty thousand, five hundred fifty-seven".

Divisors: 1 79 173 13667 73550671 5810503009 12724266083 1005217020557