Search a number
-
+
135982748649 = 311219311574051
BaseRepresentation
bin111111010100100110…
…1000001001111101001
3110222222212112100220010
41332221031001033221
54211443040424044
6142245234122133
712552531202146
oct1765115011751
9428885470803
10135982748649
1152740797800
1222430420349
13ca915102a7
14681dca73cd
15380d1debb9
hex1fa93413e9

135982748649 has 96 divisors (see below), whose sum is σ = 217980743680. Its totient is φ = 75057840000.

The previous prime is 135982748647. The next prime is 135982748659. The reversal of 135982748649 is 946847289531.

It is a happy number.

It is not a de Polignac number, because 135982748649 - 21 = 135982748647 is a prime.

It is a super-2 number, since 2×1359827486492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135982748649.

It is not an unprimeable number, because it can be changed into a prime (135982748647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33565674 + ... + 33569724.

Almost surely, 2135982748649 is an apocalyptic number.

135982748649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135982748649 is a deficient number, since it is larger than the sum of its proper divisors (81997995031).

135982748649 is a wasteful number, since it uses less digits than its factorization.

135982748649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4272 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 135982748649 in words is "one hundred thirty-five billion, nine hundred eighty-two million, seven hundred forty-eight thousand, six hundred forty-nine".

Divisors: 1 3 11 19 31 33 57 93 121 157 209 341 363 471 589 627 1023 1727 1767 2299 2983 3751 4051 4867 5181 6479 6897 8949 11253 12153 14601 18997 19437 32813 44561 53537 56991 71269 76969 92473 98439 125581 133683 160611 213807 230907 277419 360943 376743 490171 588907 636007 846659 1017203 1082829 1381391 1470513 1766721 1908021 2386039 2539977 3051609 4144173 6996077 7158117 9313249 11189233 12084133 15195301 19716217 20988231 26246429 27939747 33567699 36252399 45585903 59148651 76956847 78739287 132925463 216878387 230870541 288710719 374608123 398776389 650635161 866132157 1123824369 1462180093 2385662257 4120689353 4386540279 7156986771 12362068059 45327582883 135982748649