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4131688512 = 26373074173
BaseRepresentation
bin1111011001000100…
…1001000001000000
3101122221111112010110
43312101021001000
531430203013022
61521552231320
7204246526050
oct36621110100
911587445113
104131688512
111830259806
1297383b540
1350acab903
142b2a33560
15192ad900c
hexf6449040

4131688512 has 56 divisors (see below), whose sum is σ = 12493443136. Its totient is φ = 1180482048.

The previous prime is 4131688499. The next prime is 4131688541. The reversal of 4131688512 is 2158861314.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1535743 + ... + 1538430.

Almost surely, 24131688512 is an apocalyptic number.

4131688512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4131688512 is an abundant number, since it is smaller than the sum of its proper divisors (8361754624).

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

4131688512 is a wasteful number, since it uses less digits than its factorization.

4131688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074195 (or 3074185 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 4131688512 is about 64278.2117984002. The cubic root of 4131688512 is about 1604.6335103275.

The spelling of 4131688512 in words is "four billion, one hundred thirty-one million, six hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3074173 6148346 9222519 12296692 18445038 21519211 24593384 36890076 43038422 49186768 64557633 73780152 86076844 98373536 129115266 147560304 172153688 196747072 258230532 295120608 344307376 516461064 590241216 688614752 1032922128 1377229504 2065844256 4131688512