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10442543607 = 32171392631867
BaseRepresentation
bin10011011100110110…
…01001000111110111
3222221202111011211100
421232123021013313
5132341242343412
64444111541143
7516530104356
oct115633110767
928852434740
1010442543607
1144795a8631
12203522a7b3
13ca55a62b2
14710c3d99d
15411b76edc
hex26e6c91f7

10442543607 has 48 divisors (see below), whose sum is σ = 16155659520. Its totient is φ = 6476841216.

The previous prime is 10442543599. The next prime is 10442543623. The reversal of 10442543607 is 70634524401.

10442543607 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 5 + 43 + 607 = 666.

It is not a de Polignac number, because 10442543607 - 23 = 10442543599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442543627) 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, 5592288 + ... + 5594154.

It is an arithmetic number, because the mean of its divisors is an integer number (336576240).

Almost surely, 210442543607 is an apocalyptic number.

10442543607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10442543607 is a deficient number, since it is larger than the sum of its proper divisors (5713115913).

10442543607 is a wasteful number, since it uses less digits than its factorization.

10442543607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10442543607 in words is "ten billion, four hundred forty-two million, five hundred forty-three thousand, six hundred seven".

Divisors: 1 3 9 17 51 139 153 263 417 789 1251 1867 2363 2367 4471 5601 7089 13413 16803 21267 31739 36557 40239 95217 109671 259513 285651 329013 491021 621469 778539 1473063 1864407 2335617 4411721 4419189 5593221 8347357 13235163 25042071 39705489 68251919 75126213 204755757 614267271 1160282623 3480847869 10442543607