Search a number
-
+
731230169760 = 25345298112399
BaseRepresentation
bin10101010010000001011…
…01101110101010100000
32120220102200120101210000
422221000231232222200
543440024410413020
61315531132140000
7103554364614066
oct12510055565240
92526380511700
10731230169760
11262127405452
12b9873607600
1353c5465a82c
142756ac94036
151404abcb090
hexaa40b6eaa0

731230169760 has 480 divisors, whose sum is σ = 2674026432000. Its totient is φ = 187960227840.

The previous prime is 731230169753. The next prime is 731230169773. The reversal of 731230169760 is 67961032137.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7312301697602 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 304805041 + ... + 304807439.

It is an arithmetic number, because the mean of its divisors is an integer number (5570888400).

Almost surely, 2731230169760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731230169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337013216000).

731230169760 is an abundant number, since it is smaller than the sum of its proper divisors (1942796262240).

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

731230169760 is a wasteful number, since it uses less digits than its factorization.

731230169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 731230169760 in words is "seven hundred thirty-one billion, two hundred thirty million, one hundred sixty-nine thousand, seven hundred sixty".