Search a number
-
+
109738091988 = 223271979290119
BaseRepresentation
bin110011000110011100…
…1100110010111010100
3101111020211120200010100
41212030321212113110
53244220422420423
6122225112054100
710633261251150
oct1461471462724
9344224520110
10109738091988
11425a3323808
1219327094330
13a46b178355
1454504c8060
152cc4110343
hex198ce665d4

109738091988 has 144 divisors (see below), whose sum is σ = 337931776000. Its totient is φ = 29327448384.

The previous prime is 109738091873. The next prime is 109738092001. The reversal of 109738091988 is 889190837901.

109738091988 is a `hidden beast` number, since 1 + 0 + 97 + 380 + 91 + 9 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 233193 + ... + 523311.

Almost surely, 2109738091988 is an apocalyptic number.

109738091988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109738091988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168965888000).

109738091988 is an abundant number, since it is smaller than the sum of its proper divisors (228193684012).

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

109738091988 is a wasteful number, since it uses less digits than its factorization.

109738091988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290234 (or 290229 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 109738091988 in words is "one hundred nine billion, seven hundred thirty-eight million, ninety-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 79 84 114 126 133 158 171 228 237 252 266 316 342 399 474 532 553 684 711 798 948 1106 1197 1422 1501 1596 1659 2212 2394 2844 3002 3318 4503 4788 4977 6004 6636 9006 9954 10507 13509 18012 19908 21014 27018 31521 42028 54036 63042 94563 126084 189126 290119 378252 580238 870357 1160476 1740714 2030833 2611071 3481428 4061666 5222142 5512261 6092499 8123332 10444284 11024522 12184998 16536783 18277497 22049044 22919401 24369996 33073566 36554994 38585827 45838802 49610349 66147132 68758203 73109988 77171654 91677604 99220698 115757481 137516406 154343308 160435807 198441396 206274609 231514962 275032812 320871614 347272443 412549218 435468619 463029924 481307421 641743228 694544886 825098436 870937238 962614842 1306405857 1389089772 1443922263 1741874476 1925229684 2612811714 2887844526 3048280333 3919217571 5225623428 5775689052 6096560666 7838435142 9144840999 12193121332 15676870284 18289681998 27434522997 36579363996 54869045994 109738091988