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10616041107 = 327297737517
BaseRepresentation
bin10011110001100001…
…11110111010010011
31000101211221202122200
421320300332322103
5133220201303412
64513230334243
7524034601110
oct117060767223
930354852580
1010616041107
1145585298a1
12208335a383
131002511539
14729cc3907
15421ee89dc
hex278c3ee93

10616041107 has 48 divisors (see below), whose sum is σ = 18155067840. Its totient is φ = 5848770816.

The previous prime is 10616041103. The next prime is 10616041123. The reversal of 10616041107 is 70114061601.

10616041107 is a `hidden beast` number, since 1 + 0 + 616 + 0 + 41 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 10616041107 - 22 = 10616041103 is a prime.

It is a super-2 number, since 2×106160411072 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10616041103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408513 + ... + 1416029.

It is an arithmetic number, because the mean of its divisors is an integer number (378230580).

Almost surely, 210616041107 is an apocalyptic number.

10616041107 is a deficient number, since it is larger than the sum of its proper divisors (7539026733).

10616041107 is a wasteful number, since it uses less digits than its factorization.

10616041107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10616041107 in words is "ten billion, six hundred sixteen million, forty-one thousand, one hundred seven".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 773 1827 2319 5411 6957 7517 16233 22417 22551 48699 52619 67251 67653 156919 157857 201753 217993 470757 473571 653979 1412271 1525951 1961937 4577853 5810641 13733559 17431923 40674487 52295769 122023461 168508589 366070383 505525767 1179560123 1516577301 3538680369 10616041107