Search a number
-
+
520100115040 = 2551123791031579
BaseRepresentation
bin1111001000110000110…
…00011111001001100000
31211201110200010100111201
413210120120133021200
532010131112140130
61034533010250544
752401365015002
oct7443030371140
91751420110451
10520100115040
11190633a57420
1284970586a54
133a0784a967c
141b25c92a372
15d7e0577bca
hex791861f260

520100115040 has 384 divisors, whose sum is σ = 1431082598400. Its totient is φ = 176768317440.

The previous prime is 520100115023. The next prime is 520100115047. The reversal of 520100115040 is 40511001025.

It is a junction number, because it is equal to n+sod(n) for n = 520100114999 and 520100115017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520100115047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 329384971 + ... + 329386549.

It is an arithmetic number, because the mean of its divisors is an integer number (3726777600).

Almost surely, 2520100115040 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 520100115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715541299200).

520100115040 is an abundant number, since it is smaller than the sum of its proper divisors (910982483360).

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

520100115040 is a wasteful number, since it uses less digits than its factorization.

520100115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 520100115040 its reverse (40511001025), we get a palindrome (560611116065).

The spelling of 520100115040 in words is "five hundred twenty billion, one hundred million, one hundred fifteen thousand, forty".