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107074006677 = 3411172415823
BaseRepresentation
bin110001110111000011…
…0111010111010010101
3101020101011122010010000
41203232012322322111
53223241421203202
6121104503321513
710510252016451
oct1435606727225
9336334563100
10107074006677
1141456538010
1218902a50299
13a135257b01
14527a763661
152bba2c191c
hex18ee1bae95

107074006677 has 60 divisors (see below), whose sum is σ = 185359369536. Its totient is φ = 61075935360.

The previous prime is 107074006649. The next prime is 107074006687. The reversal of 107074006677 is 776600470701.

It is a de Polignac number, because none of the positive numbers 2k-107074006677 is a prime.

It is a super-2 number, since 2×1070740066772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107074006687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49588 + ... + 465410.

Almost surely, 2107074006677 is an apocalyptic number.

107074006677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107074006677 is a deficient number, since it is larger than the sum of its proper divisors (78285362859).

107074006677 is a wasteful number, since it uses less digits than its factorization.

107074006677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415880 (or 415854 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 107074006677 in words is "one hundred seven billion, seventy-four million, six thousand, six hundred seventy-seven".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 289 297 459 561 867 891 1377 1683 2601 3179 5049 7803 9537 15147 23409 28611 85833 257499 415823 1247469 3742407 4574053 7068991 11227221 13722159 21206973 33681663 41166477 63620919 77758901 120172847 123499431 190862757 233276703 360518541 370498293 572588271 699830109 1081555623 1321901317 2099490327 3244666869 3965703951 6298470981 9734000607 11897111853 35691335559 107074006677