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9688139958 = 237359731093
BaseRepresentation
bin10010000010111010…
…10100100010110110
3221000011221111120110
421001131110202312
5124320130434313
64241202243450
7462036555000
oct110135244266
927004844513
109688139958
11412177aa42
121a64656586
13bb51c92c3
1467c983370
153ba809ec3
hex2417548b6

9688139958 has 128 divisors (see below), whose sum is σ = 23315328000. Its totient is φ = 2681392896.

The previous prime is 9688139947. The next prime is 9688139963. The reversal of 9688139958 is 8599318869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8863260 + ... + 8864352.

It is an arithmetic number, because the mean of its divisors is an integer number (182151000).

Almost surely, 29688139958 is an apocalyptic number.

9688139958 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9688139958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657664000).

9688139958 is an abundant number, since it is smaller than the sum of its proper divisors (13627188042).

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

9688139958 is a wasteful number, since it uses less digits than its factorization.

9688139958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1237 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 66.

The square root of 9688139958 is about 98428.3493613502. The cubic root of 9688139958 is about 2131.8016861547.

The spelling of 9688139958 in words is "nine billion, six hundred eighty-eight million, one hundred thirty-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 59 73 98 118 146 147 177 219 294 343 354 413 438 511 686 826 1022 1029 1093 1239 1533 2058 2186 2478 2891 3066 3279 3577 4307 5782 6558 7154 7651 8614 8673 10731 12921 15302 17346 20237 21462 22953 25039 25842 30149 40474 45906 50078 53557 60298 60711 64487 75117 79789 90447 107114 121422 128974 150234 159578 160671 180894 193461 211043 239367 321342 374899 386922 422086 451409 478734 558523 633129 749798 902818 1117046 1124697 1266258 1354227 1477301 1675569 2249394 2708454 2954602 3159863 3351138 3909661 4431903 4707551 6319726 7819322 8863806 9415102 9479589 11728983 14122653 18959178 22119041 23457966 27367627 28245306 32952857 44238082 54735254 65905714 66357123 82102881 98858571 132714246 164205762 197717142 230669999 461339998 692009997 1384019994 1614689993 3229379986 4844069979 9688139958