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5358386401 = 71210312
BaseRepresentation
bin1001111110110001…
…00111110011100001
3111211102202020021121
410333120213303201
541433221331101
62243412452241
7246533350534
oct47730476341
914742666247
105358386401
1122aa740015
12105661a081
13675190054
1438b912a1b
1521564a0a1
hex13f627ce1

5358386401 has 9 divisors (see below), whose sum is σ = 5440196209. Its totient is φ = 5277792100.

The previous prime is 5358386393. The next prime is 5358386503. The reversal of 5358386401 is 1046838535.

The square root of 5358386401 is 73201.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 5358386401 - 23 = 5358386393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5358386101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5196756 + ... + 5197786.

Almost surely, 25358386401 is an apocalyptic number.

5358386401 is the 73201-st square number.

5358386401 is the 36601-st centered octagonal number.

It is an amenable number.

5358386401 is a deficient number, since it is larger than the sum of its proper divisors (81809808).

5358386401 is an frugal number, since it uses more digits than its factorization.

5358386401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The cubic root of 5358386401 is about 1749.8923907709.

The spelling of 5358386401 in words is "five billion, three hundred fifty-eight million, three hundred eighty-six thousand, four hundred one".

Divisors: 1 71 1031 5041 73201 1062961 5197271 75470231 5358386401