Search a number
-
+
5875240753680 = 24352331372513697
BaseRepresentation
bin101010101111110111110…
…1000110101101000010000
3202210200000122000011210120
41111133233220311220100
51232224443113104210
620255014235230240
71144320641263104
oct125375750655020
922720018004716
105875240753680
111965748269111
127aa7b22a8380
1333805716ca5c
14164512775904
15a2c66285270
hex557efa35a10

5875240753680 has 640 divisors, whose sum is σ = 20234160930816. Its totient is φ = 1405071360000.

The previous prime is 5875240753673. The next prime is 5875240753747. The reversal of 5875240753680 is 863570425785.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1589189592 + ... + 1589193288.

Almost surely, 25875240753680 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 5875240753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117080465408).

5875240753680 is an abundant number, since it is smaller than the sum of its proper divisors (14358920177136).

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

5875240753680 is a wasteful number, since it uses less digits than its factorization.

5875240753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 5875240753680 in words is "five trillion, eight hundred seventy-five billion, two hundred forty million, seven hundred fifty-three thousand, six hundred eighty".