Search a number
-
+
516636003366120 = 23351110130712622663
BaseRepresentation
bin111010101111000001011000…
…1011101010111010011101000
32111202020220211100220000010210
41311132002301131113103220
51020204031013330203440
65030443145313141120
7213551501532415401
oct16536026135272350
92452226740800123
10516636003366120
1113a68610a255670
1249b3b62825a7a0
1319237748878521
14918145d0b09a8
153eadd4c320a80
hex1d5e0b17574e8

516636003366120 has 256 divisors, whose sum is σ = 1713111604807680. Its totient is φ = 123601106304000.

The previous prime is 516636003366059. The next prime is 516636003366127. The reversal of 516636003366120 is 21663300636615.

It is a self number, because there is not a number n which added to its sum of digits gives 516636003366120.

It is not an unprimeable number, because it can be changed into a prime (516636003366127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34617909 + ... + 47240571.

It is an arithmetic number, because the mean of its divisors is an integer number (6691842206280).

Almost surely, 2516636003366120 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 516636003366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856555802403840).

516636003366120 is an abundant number, since it is smaller than the sum of its proper divisors (1196475601441560).

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

516636003366120 is a wasteful number, since it uses less digits than its factorization.

516636003366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623096 (or 12623092 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 516636003366120 in words is "five hundred sixteen trillion, six hundred thirty-six billion, three million, three hundred sixty-six thousand, one hundred twenty".