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5416363668 = 22319233101957
BaseRepresentation
bin1010000101101011…
…10010011010010100
3111222110211210010210
411002311302122110
542043042114133
62253243245420
7251136221502
oct50265623224
914873753123
105416363668
11232a43a211
121071b19870
136841ac421
143954c5672
1521a79d763
hex142d72694

5416363668 has 48 divisors (see below), whose sum is σ = 13360576320. Its totient is φ = 1703073024.

The previous prime is 5416363661. The next prime is 5416363703. The reversal of 5416363668 is 8663636145.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5416363661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 104102.

It is an arithmetic number, because the mean of its divisors is an integer number (278345340).

Almost surely, 25416363668 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 5416363668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680288160).

5416363668 is an abundant number, since it is smaller than the sum of its proper divisors (7944212652).

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

5416363668 is a wasteful number, since it uses less digits than its factorization.

5416363668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102216 (or 102214 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 5416363668 is about 73595.9487200213. The cubic root of 5416363668 is about 1756.1809912847.

The spelling of 5416363668 in words is "five billion, four hundred sixteen million, three hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 466 699 932 1398 2796 4427 8854 13281 17708 26562 53124 101957 203914 305871 407828 611742 1223484 1937183 3874366 5811549 7748732 11623098 23246196 23755981 47511962 71267943 95023924 142535886 285071772 451363639 902727278 1354090917 1805454556 2708181834 5416363668