Search a number
-
+
148836053204532 = 223229171598308367
BaseRepresentation
bin100001110101110110011000…
…000101001011111000110100
3201111222120212110020020101200
4201311312120011023320310
5124002012214110021112
61244314201112452500
743231023101216661
oct4165663005137064
9644876773206350
10148836053204532
1143473019982381
12148395110aa130
13650824474cc35
1428a79bc238a68
1512318799b4cdc
hex875d9814be34

148836053204532 has 72 divisors (see below), whose sum is σ = 389220454022400. Its totient is φ = 47898461126208.

The previous prime is 148836053204479. The next prime is 148836053204539. The reversal of 148836053204532 is 235402350638841.

148836053204532 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 3 + 60 + 532 + 0 + 45 + 3 + 2 = 666.

148836053204532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148836053204539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13759813 + ... + 22068179.

It is an arithmetic number, because the mean of its divisors is an integer number (5405839639200).

Almost surely, 2148836053204532 is an apocalyptic number.

148836053204532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148836053204532 is an abundant number, since it is smaller than the sum of its proper divisors (240384400817868).

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

148836053204532 is a wasteful number, since it uses less digits than its factorization.

148836053204532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325565 (or 8325560 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 148836053204532 in words is "one hundred forty-eight trillion, eight hundred thirty-six billion, fifty-three million, two hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 17159 34318 51477 68636 102954 154431 205908 308862 497611 617724 995222 1492833 1990444 2985666 4478499 5971332 8308367 8956998 16616734 17913996 24925101 33233468 49850202 74775303 99700404 149550606 240942643 299101212 481885286 722827929 963770572 1445655858 2168483787 2891311716 4336967574 8673935148 142563269353 285126538706 427689808059 570253077412 855379616118 1283069424177 1710759232236 2566138848354 4134334811237 5132277696708 8268669622474 12403004433711 16537339244948 24806008867422 37209013301133 49612017734844 74418026602266 148836053204532