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148983381225 = 32527474914099
BaseRepresentation
bin1000101011000000011…
…0011111110011101001
3112020112220111221002100
42022300012133303221
54420104221144400
6152235250524013
713522642563060
oct2126006376351
9466486457070
10148983381225
1158202264448
1224a5a296609
1311083a73ba3
1472d47591d7
153d1e719100
hex22b019fce9

148983381225 has 144 divisors (see below), whose sum is σ = 312165734400. Its totient is φ = 66505622400.

The previous prime is 148983381223. The next prime is 148983381247. The reversal of 148983381225 is 522183389841.

148983381225 is a `hidden beast` number, since 1 + 4 + 89 + 8 + 338 + 1 + 225 = 666.

148983381225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 148983381225 - 21 = 148983381223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148983381221) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 36344226 + ... + 36348324.

It is an arithmetic number, because the mean of its divisors is an integer number (2167817600).

Almost surely, 2148983381225 is an apocalyptic number.

148983381225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148983381225 is an abundant number, since it is smaller than the sum of its proper divisors (163182353175).

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

148983381225 is a wasteful number, since it uses less digits than its factorization.

148983381225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4652 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 148983381225 in words is "one hundred forty-eight billion, nine hundred eighty-three million, three hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 141 175 225 235 315 329 423 491 525 705 987 1175 1473 1575 1645 2115 2455 2961 3437 3525 4099 4419 4935 7365 8225 10311 10575 12275 12297 14805 17185 20495 22095 23077 24675 28693 30933 36825 36891 51555 61485 69231 74025 85925 86079 102475 110475 115385 143465 154665 161539 184455 192653 207693 257775 258237 307425 346155 430395 484617 576925 577959 717325 773325 807695 922275 963265 1038465 1291185 1348571 1453851 1730775 1733877 2012609 2151975 2423085 2889795 4038475 4045713 4816325 5192325 6037827 6455925 6742855 7269255 8669385 10063045 12115425 12137139 14088263 14448975 18113481 20228565 30189135 33714275 36346275 42264789 43346925 50315225 60685695 70441315 90567405 94592623 101142825 126794367 150945675 211323945 283777869 303428475 352206575 452837025 472963115 633971835 662148361 851333607 1056619725 1418889345 1986445083 2364815575 3169859175 3310741805 4256668035 5959335249 7094446725 9932225415 16553709025 21283340175 29796676245 49661127075 148983381225