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5379248601 = 32738187593
BaseRepresentation
bin1010000001010000…
…01101000111011001
3111212220000010211200
411000220031013121
542004041423401
62245435544413
7250205600346
oct50050150731
914786003750
105379248601
11231049a101
1210615bb109
136795b5a4c
143905c37cd
152173bb686
hex140a0d1d9

5379248601 has 12 divisors (see below), whose sum is σ = 7876465428. Its totient is φ = 3537039744.

The previous prime is 5379248569. The next prime is 5379248627. The reversal of 5379248601 is 1068429735.

5379248601 is a `hidden beast` number, since 5 + 37 + 9 + 2 + 4 + 8 + 601 = 666.

5379248601 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2918592576 + 2460656025 = 54024^2 + 49605^2 .

It is not a de Polignac number, because 5379248601 - 25 = 5379248569 is a prime.

It is a super-2 number, since 2×53792486012 = 57872631022720914402, which contains 22 as substring.

5379248601 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5379248101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4093140 + ... + 4094453.

It is an arithmetic number, because the mean of its divisors is an integer number (656372119).

It is a 1-persistent number, because it is pandigital, but 2⋅5379248601 = 10758497202 is not.

Almost surely, 25379248601 is an apocalyptic number.

It is an amenable number.

5379248601 is a deficient number, since it is larger than the sum of its proper divisors (2497216827).

5379248601 is a wasteful number, since it uses less digits than its factorization.

5379248601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187672 (or 8187669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5379248601 is about 73343.3609878904. The cubic root of 5379248601 is about 1752.1604447812.

The spelling of 5379248601 in words is "five billion, three hundred seventy-nine million, two hundred forty-eight thousand, six hundred one".

Divisors: 1 3 9 73 219 657 8187593 24562779 73688337 597694289 1793082867 5379248601