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6116448101 = 41612445601
BaseRepresentation
bin1011011001001000…
…11001011101100101
3120210021011202102212
411230210121131211
5100011302314401
62450532413205
7304366644131
oct55444313545
916707152385
106116448101
112659636a95
121228477205
1376624b07a
144204823c1
1525be8adbb
hex16c919765

6116448101 has 8 divisors (see below), whose sum is σ = 6368347608. Its totient is φ = 5869440000.

The previous prime is 6116448083. The next prime is 6116448161. The reversal of 6116448101 is 1018446116.

It can be written as a sum of positive squares in 4 ways, for example, as 32604100 + 6083844001 = 5710^2 + 77999^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6116448101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116448161) 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, 1220300 + ... + 1225301.

It is an arithmetic number, because the mean of its divisors is an integer number (796043451).

Almost surely, 26116448101 is an apocalyptic number.

6116448101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6116448101 is a deficient number, since it is larger than the sum of its proper divisors (251899507).

6116448101 is a wasteful number, since it uses less digits than its factorization.

6116448101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445703.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 6116448101 is about 78207.7240494825. The cubic root of 6116448101 is about 1828.8009206256.

The spelling of 6116448101 in words is "six billion, one hundred sixteen million, four hundred forty-eight thousand, one hundred one".

Divisors: 1 41 61 2501 2445601 100269641 149181661 6116448101