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10516114917 = 32711139109171
BaseRepresentation
bin10011100101100111…
…10010110111100101
31000010212220222200200
421302303302313211
5133014111134132
64455300501113
7521412334110
oct116263626745
930125828620
1010516114917
114507088870
1220559aa799
13cb78c5509
1471a911577
1541835ad7c
hex272cf2de5

10516114917 has 48 divisors (see below), whose sum is σ = 19074531840. Its totient is φ = 5423565600.

The previous prime is 10516114897. The next prime is 10516114933. The reversal of 10516114917 is 71941161501.

10516114917 is a `hidden beast` number, since 1 + 0 + 5 + 161 + 1 + 491 + 7 = 666.

It is not a de Polignac number, because 10516114917 - 27 = 10516114789 is a prime.

It is a super-2 number, since 2×105161149172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516114957) 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, 41742 + ... + 150912.

It is an arithmetic number, because the mean of its divisors is an integer number (397386080).

Almost surely, 210516114917 is an apocalyptic number.

It is an amenable number.

10516114917 is a deficient number, since it is larger than the sum of its proper divisors (8558416923).

10516114917 is a wasteful number, since it uses less digits than its factorization.

10516114917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109334 (or 109331 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 10516114917 in words is "ten billion, five hundred sixteen million, one hundred fourteen thousand, nine hundred seventeen".

Divisors: 1 3 7 9 11 21 33 63 77 99 139 231 417 693 973 1251 1529 2919 4587 8757 10703 13761 32109 96327 109171 327513 764197 982539 1200881 2292591 3602643 6877773 8406167 10807929 15174769 25218501 45524307 75655503 106223383 136572921 166922459 318670149 500767377 956010447 1168457213 1502302131 3505371639 10516114917