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118787341068 = 2232111039193169
BaseRepresentation
bin110111010100001000…
…1101111101100001100
3102100121111100011011200
41232220101233230030
53421234024403233
6130323052545500
711403442511424
oct1565021575414
9370544304150
10118787341068
11464173a2560
121b031782290
13b280baccc6
145a6c27d484
1531537b9313
hex1ba846fb0c

118787341068 has 144 divisors (see below), whose sum is σ = 331209715200. Its totient is φ = 35596661760.

The previous prime is 118787341039. The next prime is 118787341081. The reversal of 118787341068 is 860143787811.

118787341068 is a `hidden beast` number, since 11 + 87 + 87 + 3 + 410 + 68 = 666.

It is a super-2 number, since 2×1187873410682 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 37482588 + ... + 37485756.

Almost surely, 2118787341068 is an apocalyptic number.

118787341068 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 118787341068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165604857600).

118787341068 is an abundant number, since it is smaller than the sum of its proper divisors (212422374132).

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

118787341068 is a wasteful number, since it uses less digits than its factorization.

118787341068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 118787341068 in words is "one hundred eighteen billion, seven hundred eighty-seven million, three hundred forty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 919 927 1133 1236 1838 1854 2266 2757 3169 3399 3676 3708 4532 5514 6338 6798 8271 9507 10109 10197 11028 12676 13596 16542 19014 20218 20394 28521 30327 33084 34859 38028 40436 40788 57042 60654 69718 90981 94657 104577 114084 121308 139436 181962 189314 209154 283971 313731 326407 363924 378628 418308 567942 627462 652814 851913 979221 1041227 1135884 1254924 1305628 1703826 1958442 2082454 2912311 2937663 3123681 3407652 3590477 3916884 4164908 5824622 5875326 6247362 7180954 8736933 9371043 10771431 11649244 11750652 12494724 14361908 17473866 18742086 21542862 26210799 32035421 32314293 34947732 37484172 43085724 52421598 64070842 64628586 96106263 104843196 128141684 129257172 192212526 288318789 299968033 384425052 576637578 599936066 899904099 1153275156 1199872132 1799808198 2699712297 3299648363 3599616396 5399424594 6599296726 9898945089 10798849188 13198593452 19797890178 29696835267 39595780356 59393670534 118787341068