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7931623141 = 1331372112521
BaseRepresentation
bin1110110001100001…
…01111011011100101
3202110202202012111001
413120300233123211
5112220443420031
63351014113301
7400360453501
oct73060573345
922422665431
107931623141
113400215952
12165434b831
13995322340
14553589301
153164e0861
hex1d8c2f6e5

7931623141 has 32 divisors (see below), whose sum is σ = 9102119936. Its totient is φ = 6858432000.

The previous prime is 7931623127. The next prime is 7931623153. The reversal of 7931623141 is 1413261397.

7931623141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(7931623141) divides (7931623141-1)5.

It is a cyclic number.

It is not a de Polignac number, because 7931623141 - 27 = 7931623013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R7931623140.

It is a self number, because there is not a number n which added to its sum of digits gives 7931623141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931623111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3144961 + ... + 3147481.

It is an arithmetic number, because the mean of its divisors is an integer number (284441248).

It is a Poulet number, since it divides 27931623140-1.

Almost surely, 27931623141 is an apocalyptic number.

It is an amenable number.

7931623141 is a deficient number, since it is larger than the sum of its proper divisors (1170496795).

7931623141 is a wasteful number, since it uses less digits than its factorization.

7931623141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813.

The product of its digits is 27216, while the sum is 37.

The square root of 7931623141 is about 89059.6605708780. The cubic root of 7931623141 is about 1994.2856168793.

The spelling of 7931623141 in words is "seven billion, nine hundred thirty-one million, six hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 13 31 37 211 403 481 1147 2521 2743 6541 7807 14911 32773 78151 85033 93277 101491 242017 531931 1015963 1212601 2891587 3146221 6915103 16489861 19681447 37590631 214368193 255858811 610124857 7931623141