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107146810737348 = 2238928900894779
BaseRepresentation
bin11000010111001100001111…
…100101111100001011000100
3112001101010122110120200122120
4120113030033211330023010
5103020443132022043343
61015514322035525540
731366046566114044
oct3027141745741304
9461333573520576
10107146810737348
113115a786393408
121002592a1598b0
1347a2b93371555
141c65d0d007724
15c5c203ac1683
hex61730f97c2c4

107146810737348 has 12 divisors (see below), whose sum is σ = 250009225053840. Its totient is φ = 35715603579112.

The previous prime is 107146810737259. The next prime is 107146810737349. The reversal of 107146810737348 is 843737018641701.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1071468107373483 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107146810737291 and 107146810737300.

It is not an unprimeable number, because it can be changed into a prime (107146810737349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4464450447378 + ... + 4464450447401.

It is an arithmetic number, because the mean of its divisors is an integer number (20834102087820).

Almost surely, 2107146810737348 is an apocalyptic number.

It is an amenable number.

107146810737348 is an abundant number, since it is smaller than the sum of its proper divisors (142862414316492).

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

107146810737348 is a wasteful number, since it uses less digits than its factorization.

107146810737348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928900894786 (or 8928900894784 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 107146810737348 in words is "one hundred seven trillion, one hundred forty-six billion, eight hundred ten million, seven hundred thirty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 8928900894779 17857801789558 26786702684337 35715603579116 53573405368674 107146810737348