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4105763201 = 37673316481
BaseRepresentation
bin1111010010111000…
…1111100110000001
3101121010201101021202
43310232033212001
531402033410301
61515224430545
7203513261051
oct36456174601
911533641252
104105763201
111817661731
12967018455
135058024a7
142ad405561
151906b766b
hexf4b8f981

4105763201 has 8 divisors (see below), whose sum is σ = 4217611944. Its totient is φ = 3993960960.

The previous prime is 4105763197. The next prime is 4105763209. The reversal of 4105763201 is 1023675014.

It can be written as a sum of positive squares in 4 ways, for example, as 2623898176 + 1481865025 = 51224^2 + 38495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4105763201 - 22 = 4105763197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4105763209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240881 + ... + 257361.

It is an arithmetic number, because the mean of its divisors is an integer number (527201493).

Almost surely, 24105763201 is an apocalyptic number.

It is an amenable number.

4105763201 is a deficient number, since it is larger than the sum of its proper divisors (111848743).

4105763201 is a wasteful number, since it uses less digits than its factorization.

4105763201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23251.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 4105763201 is about 64076.2296097391. The cubic root of 4105763201 is about 1601.2702414176.

The spelling of 4105763201 in words is "four billion, one hundred five million, seven hundred sixty-three thousand, two hundred one".

Divisors: 1 37 6733 16481 249121 609797 110966573 4105763201