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10388924973 = 34731792089
BaseRepresentation
bin10011010110011101…
…00110101000101101
3222211000121001220000
421223032212220231
5132234031044343
64434514414513
7515306256000
oct115316465055
928730531800
1010388924973
114451306109
12201b291439
13c97451aab
14707a83537
1540c0d4ed3
hex26b3a6a2d

10388924973 has 80 divisors (see below), whose sum is σ = 18208080000. Its totient is φ = 5900537664.

The previous prime is 10388924971. The next prime is 10388924981. The reversal of 10388924973 is 37942988301.

10388924973 is a `hidden beast` number, since 10 + 388 + 9 + 249 + 7 + 3 = 666.

It is not a de Polignac number, because 10388924973 - 21 = 10388924971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10388924971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4972113 + ... + 4974201.

It is an arithmetic number, because the mean of its divisors is an integer number (227601000).

Almost surely, 210388924973 is an apocalyptic number.

It is an amenable number.

10388924973 is a deficient number, since it is larger than the sum of its proper divisors (7819155027).

10388924973 is an equidigital number, since it uses as much as digits as its factorization.

10388924973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10388924973 in words is "ten billion, three hundred eighty-eight million, nine hundred twenty-four thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 179 189 343 441 537 567 1029 1253 1323 1611 2089 3087 3759 3969 4833 6267 8771 9261 11277 14499 14623 18801 26313 27783 33831 43869 56403 61397 78939 101493 102361 131607 169209 184191 236817 307083 373931 394821 552573 710451 716527 921249 1121793 1184463 1657719 2149581 2617517 2763747 3365379 4973157 6448743 7852551 8291241 10096137 18322619 19346229 23557653 30288411 54967857 58038687 70672959 128258333 164903571 212018877 384774999 494710713 1154324997 1484132139 3462974991 10388924973