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149518053200808 = 233632038004223
BaseRepresentation
bin100001111111110001100010…
…011100101101001110101000
3201121101210020012112201000000
4201333301202130231032220
5124044200433104411213
61245555351223343000
743331215512434355
oct4177614234551650
9647353205481000
10149518053200808
1143706283116836
12149297255b1a60
1365576519879a6
1428cc9d8b1162c
1512444936b2c73
hex87fc6272d3a8

149518053200808 has 112 divisors (see below), whose sum is σ = 420458524945920. Its totient is φ = 49823784632736.

The previous prime is 149518053200759. The next prime is 149518053200921. The reversal of 149518053200808 is 808002350815941.

149518053200808 is a `hidden beast` number, since 1 + 4 + 95 + 18 + 0 + 532 + 0 + 0 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14677785 + ... + 22682007.

Almost surely, 2149518053200808 is an apocalyptic number.

149518053200808 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 149518053200808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210229262472960).

149518053200808 is an abundant number, since it is smaller than the sum of its proper divisors (270940471745112).

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

149518053200808 is an equidigital number, since it uses as much as digits as its factorization.

149518053200808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007450 (or 8007431 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 149518053200808 in words is "one hundred forty-nine trillion, five hundred eighteen billion, fifty-three million, two hundred thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3203 5832 6406 9609 12812 19218 25624 28827 38436 57654 76872 86481 115308 172962 230616 259443 345924 518886 691848 778329 1037772 1556658 2075544 2334987 3113316 4669974 6226632 8004223 9339948 16008446 18679896 24012669 32016892 48025338 64033784 72038007 96050676 144076014 192101352 216114021 288152028 432228042 576304056 648342063 864456084 1296684126 1728912168 1945026189 2593368252 3890052378 5186736504 5835078567 7780104756 11670157134 15560209512 23340314268 25637526269 46680628536 51275052538 76912578807 102550105076 153825157614 205100210152 230737736421 307650315228 461475472842 615300630456 692213209263 922950945684 1384426418526 1845901891368 2076639627789 2768852837052 4153279255578 5537705674104 6229918883367 8306558511156 12459837766734 16613117022312 18689756650101 24919675533468 37379513300202 49839351066936 74759026600404 149518053200808