Search a number
-
+
6277000081 = 112383337887
BaseRepresentation
bin1011101100010001…
…10110101110010001
3121012110021122100111
411312020312232101
5100323403000311
62514505521321
7311356422532
oct56610665621
917173248314
106277000081
112731226080
1212721a3241
137905a2b41
14437916689
1526b101d21
hex176236b91

6277000081 has 32 divisors (see below), whose sum is σ = 7261083648. Its totient is φ = 5370435840.

The previous prime is 6277000057. The next prime is 6277000097. The reversal of 6277000081 is 1800007726.

It is a happy number.

It is the 32345-th star number.

It is a de Polignac number, because none of the positive numbers 2k-6277000081 is a prime.

It is a super-4 number, since 4×62770000814 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6277000481) 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 31 ways as a sum of consecutive naturals, for example, 7076220 + ... + 7077106.

It is an arithmetic number, because the mean of its divisors is an integer number (226908864).

Almost surely, 26277000081 is an apocalyptic number.

It is an amenable number.

6277000081 is a deficient number, since it is larger than the sum of its proper divisors (984083567).

6277000081 is a wasteful number, since it uses less digits than its factorization.

6277000081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 6277000081 is about 79227.5209822950. The cubic root of 6277000081 is about 1844.6644494708.

The spelling of 6277000081 in words is "six billion, two hundred seventy-seven million, eighty-one", and thus it is an aban number.

Divisors: 1 11 23 83 253 337 887 913 1909 3707 7751 9757 20401 20999 27971 73621 85261 224411 298919 307681 643333 809831 1693283 3288109 6875137 7076663 18626113 24810277 75626507 272913047 570636371 6277000081