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8107189688 = 2313313078191
BaseRepresentation
bin1111000110011100…
…11110010110111000
3202221000002220111202
413203032132112320
5113100420032223
63420245113332
7404621655353
oct74316362670
922830086452
108107189688
11349032a674
1216a30b8848
139c2803280
1456ca0b29a
15326b20428
hex1e339e5b8

8107189688 has 64 divisors (see below), whose sum is σ = 16955473920. Its totient is φ = 3608841600.

The previous prime is 8107189669. The next prime is 8107189697. The reversal of 8107189688 is 8869817018.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 985673 + ... + 993863.

It is an arithmetic number, because the mean of its divisors is an integer number (264929280).

Almost surely, 28107189688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8107189688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477736960).

8107189688 is an abundant number, since it is smaller than the sum of its proper divisors (8848284232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8107189688 is a wasteful number, since it uses less digits than its factorization.

8107189688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 56.

The square root of 8107189688 is about 90039.9338515972. The cubic root of 8107189688 is about 2008.8928737915.

The spelling of 8107189688 in words is "eight billion, one hundred seven million, one hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 307 403 614 806 1228 1612 2456 3224 3991 7982 8191 9517 15964 16382 19034 31928 32764 38068 65528 76136 106483 123721 212966 247442 253921 425932 494884 507842 851864 989768 1015684 2031368 2514637 3300973 5029274 6601946 10058548 13203892 20117096 26407784 32690281 65380562 77953747 130761124 155907494 261522248 311814988 623629976 1013398711 2026797422 4053594844 8107189688