Search a number
-
+
5245757620560 = 24375173156893
BaseRepresentation
bin100110001010101111110…
…0001010000000101010000
3200120111012212102210000000
41030111133201100011100
51141421302422324220
615053511235130000
71050664523032542
oct114253741200520
920514185383000
105245757620560
1117427934692a6
127087b5743900
132c0899259862
14141c7898d692
15916c2d89390
hex4c55f850150

5245757620560 has 640 divisors, whose sum is σ = 19992897515520. Its totient is φ = 1274089512960.

The previous prime is 5245757620471. The next prime is 5245757620573. The reversal of 5245757620560 is 650267575425.

5245757620560 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 7 + 5 + 7 + 620 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5245757620497 and 5245757620506.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 92175474 + ... + 92232366.

It is an arithmetic number, because the mean of its divisors is an integer number (31238902368).

Almost surely, 25245757620560 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 5245757620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996448757760).

5245757620560 is an abundant number, since it is smaller than the sum of its proper divisors (14747139894960).

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

5245757620560 is a wasteful number, since it uses less digits than its factorization.

5245757620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56975 (or 56951 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 5245757620560 in words is "five trillion, two hundred forty-five billion, seven hundred fifty-seven million, six hundred twenty thousand, five hundred sixty".