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5417630720 = 21051767929
BaseRepresentation
bin1010000101110101…
…00111110000000000
3111222120020011012122
411002322213300000
542043403140340
62253330343412
7251153046515
oct50272476000
914876204178
105417630720
112330125167
12107242ab68
13684534068
1439573530c
1521a94ddb5
hex142ea7c00

5417630720 has 176 divisors, whose sum is σ = 13980846240. Its totient is φ = 2006974464.

The previous prime is 5417630719. The next prime is 5417630747. The reversal of 5417630720 is 270367145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5831216 + ... + 5832144.

Almost surely, 25417630720 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 5417630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990423120).

5417630720 is an abundant number, since it is smaller than the sum of its proper divisors (8563215520).

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

5417630720 is a wasteful number, since it uses less digits than its factorization.

5417630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 5417630720 is about 73604.5563807024. The cubic root of 5417630720 is about 1756.3179219688.

Adding to 5417630720 its reverse (270367145), we get a palindrome (5687997865).

The spelling of 5417630720 in words is "five billion, four hundred seventeen million, six hundred thirty thousand, seven hundred twenty".