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10106674389 = 327319172313
BaseRepresentation
bin10010110100110011…
…11001110011010101
3222002100111020212200
421122121321303111
5131144302040024
64350513035113
7505311213000
oct113231716325
928070436780
1010106674389
114316a55069
121b60855a99
13c50b29c06
146bc3b0537
153e24302c9
hex25a679cd5

10106674389 has 48 divisors (see below), whose sum is σ = 17920656000. Its totient is φ = 5471250624.

The previous prime is 10106674387. The next prime is 10106674397. The reversal of 10106674389 is 98347660101.

It is a happy number.

It is not a de Polignac number, because 10106674389 - 21 = 10106674387 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106674387) 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 47 ways as a sum of consecutive naturals, for example, 27504 + ... + 144809.

It is an arithmetic number, because the mean of its divisors is an integer number (373347000).

Almost surely, 210106674389 is an apocalyptic number.

10106674389 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10106674389 is a deficient number, since it is larger than the sum of its proper divisors (7813981611).

10106674389 is a wasteful number, since it uses less digits than its factorization.

10106674389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172359 (or 172342 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10106674389 in words is "ten billion, one hundred six million, six hundred seventy-four thousand, three hundred eighty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1029 1197 2793 3087 6517 8379 19551 58653 172313 516939 1206191 1550817 3273947 3618573 8443337 9821841 10855719 22917629 25330011 29465523 59103359 68752887 75990033 160423403 177310077 206258661 481270209 531930231 1122963821 1443810627 3368891463 10106674389