Search a number
-
+
109738670481 = 3511219375309
BaseRepresentation
bin110011000110011101…
…1110011100110010001
3101111020212200001200000
41212030323303212101
53244221044423411
6122225132320213
710633266210546
oct1461473634621
9344225601600
10109738670481
11425a3689400
1219327313069
13a46b31b75b
1454505d8bcd
152cc41c6956
hex198cef3991

109738670481 has 144 divisors (see below), whose sum is σ = 195371467200. Its totient is φ = 61293386880.

The previous prime is 109738670479. The next prime is 109738670491. The reversal of 109738670481 is 184076837901.

109738670481 is a `hidden beast` number, since 1 + 0 + 97 + 3 + 8 + 6 + 70 + 481 = 666.

It is not a de Polignac number, because 109738670481 - 21 = 109738670479 is a prime.

It is a super-2 number, since 2×1097386704812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109738670491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20667655 + ... + 20672963.

It is an arithmetic number, because the mean of its divisors is an integer number (1356746300).

Almost surely, 2109738670481 is an apocalyptic number.

109738670481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109738670481 is a deficient number, since it is larger than the sum of its proper divisors (85632796719).

109738670481 is a wasteful number, since it uses less digits than its factorization.

109738670481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 109738670481 in words is "one hundred nine billion, seven hundred thirty-eight million, six hundred seventy thousand, four hundred eighty-one".

Divisors: 1 3 9 11 19 27 33 37 57 81 99 111 121 171 209 243 297 333 363 407 513 627 703 891 999 1089 1221 1539 1881 2109 2299 2673 2997 3267 3663 4477 4617 5309 5643 6327 6897 7733 8991 9801 10989 13431 15927 16929 18981 20691 23199 29403 32967 40293 47781 50787 56943 58399 62073 69597 85063 98901 100871 120879 143343 170829 175197 186219 196433 208791 255189 302613 362637 430029 525591 558657 589299 626373 642389 765567 907839 1087911 1109581 1290087 1576773 1767897 1879119 1927167 2160763 2296701 2723517 3328743 3732227 4730319 5303691 5781501 6482289 6890103 8170551 9986229 11196681 12205391 14190957 15911073 17344503 19446867 20670309 23768393 24511653 29958687 33590043 36616173 41054497 47733219 52033509 58340601 71305179 89876061 100770129 109848519 123163491 156100527 175021803 213915537 269628183 302310387 329545557 369490473 451599467 525065409 641746611 906931161 988636671 1108471419 1354798401 1925239833 2965910013 3325414257 4064395203 5775719499 9976242771 12193185609 36579556827 109738670481