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10616042241 = 3271721794549
BaseRepresentation
bin10011110001100001…
…11111001100000001
31000101211221211012200
421320300333030001
5133220201322431
64513230343413
7524034604320
oct117060771401
930354854180
1010616042241
11455852a732
12208335ab69
131002511bcc
14729cc40b7
15421ee8ee6
hex278c3f301

10616042241 has 48 divisors (see below), whose sum is σ = 18568368000. Its totient is φ = 5705593344.

The previous prime is 10616042231. The next prime is 10616042291. The reversal of 10616042241 is 14224061601.

10616042241 is a `hidden beast` number, since 1 + 0 + 616 + 0 + 4 + 2 + 2 + 41 = 666.

It is not a de Polignac number, because 10616042241 - 213 = 10616034049 is a prime.

It is a super-2 number, since 2×106160422412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10616042201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2331435 + ... + 2335983.

It is an arithmetic number, because the mean of its divisors is an integer number (386841000).

Almost surely, 210616042241 is an apocalyptic number.

It is an amenable number.

10616042241 is a deficient number, since it is larger than the sum of its proper divisors (7952325759).

10616042241 is a wasteful number, since it uses less digits than its factorization.

10616042241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10616042241 in words is "ten billion, six hundred sixteen million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 2179 4549 6537 13647 15253 19611 31843 37043 40941 45759 77333 95529 111129 137277 231999 259301 286587 333387 541331 695997 777903 1623993 2333709 4871979 9912271 29736813 69385897 89210439 168508607 208157691 505525821 624473073 1179560249 1516577463 3538680747 10616042241