Search a number
-
+
1713134292480 = 2935513172733
BaseRepresentation
bin11000111011011110110…
…000101100111000000000
320001202220021102000100000
4120323132300230320000
5211031444334324410
63351000353200000
7234525031136322
oct30733660547000
96052807360300
101713134292480
11600599712966
12238025260000
13c5717896980
145ccb7c73612
152e86894adc0
hex18edec2ce00

1713134292480 has 1440 divisors, whose sum is σ = 7048403185824. Its totient is φ = 396347572224.

The previous prime is 1713134292449. The next prime is 1713134292509. The reversal of 1713134292480 is 842924313171.

1713134292480 is a `hidden beast` number, since 1 + 7 + 1 + 313 + 4 + 292 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2337154194 + ... + 2337154926.

Almost surely, 21713134292480 is an apocalyptic number.

1713134292480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713134292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524201592912).

1713134292480 is an abundant number, since it is smaller than the sum of its proper divisors (5335268893344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1713134292480 is an equidigital number, since it uses as much as digits as its factorization.

1713134292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1713134292480 in words is "one trillion, seven hundred thirteen billion, one hundred thirty-four million, two hundred ninety-two thousand, four hundred eighty".