Search a number
-
+
5421852041760 = 2535571123147113
BaseRepresentation
bin100111011100101111110…
…0100001010001000100000
3201012022202012011020100000
41032321133210022020200
51202312423110314020
615310433041500000
71066500355644540
oct116713744121040
921168665136300
105421852041760
111800438148300
1273695b341600
133043809bbb1b
1414a5c1bb3320
159607c76e090
hex4ee5f90a220

5421852041760 has 3456 divisors, whose sum is σ = 25634855780352. Its totient is φ = 1057635532800.

The previous prime is 5421852041701. The next prime is 5421852041869. The reversal of 5421852041760 is 671402581245.

5421852041760 is a `hidden beast` number, since 5 + 4 + 2 + 18 + 520 + 41 + 76 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47980991464 + ... + 47980991576.

It is an arithmetic number, because the mean of its divisors is an integer number (7417492992).

Almost surely, 25421852041760 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 5421852041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817427890176).

5421852041760 is an abundant number, since it is smaller than the sum of its proper divisors (20213003738592).

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

5421852041760 is a wasteful number, since it uses less digits than its factorization.

5421852041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5421852041760 in words is "five trillion, four hundred twenty-one billion, eight hundred fifty-two million, forty-one thousand, seven hundred sixty".