Search a number
-
+
147487320731745 = 38529155030321
BaseRepresentation
bin100001100010001110010001…
…010111000111000001100001
3201100012122112222010200000000
4201202032101113013001201
5123312413013101403440
61241402423443050213
743031415204315201
oct4142162127070141
9640178488120000
10147487320731745
1142aa3026626095
1214660045370969
13643acc13913a7
14285c5d282a401
15120b73c623730
hex8623915c7061

147487320731745 has 72 divisors (see below), whose sum is σ = 274617611784360. Its totient is φ = 75947493404160.

The previous prime is 147487320731671. The next prime is 147487320731771. The reversal of 147487320731745 is 547137023784741.

147487320731745 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 8 + 73 + 207 + 317 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6350354640081 + 141136966091664 = 2519991^2 + 11880108^2 .

It is not a de Polignac number, because 147487320731745 - 217 = 147487320600673 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 76563816 + ... + 78466505.

It is an arithmetic number, because the mean of its divisors is an integer number (3814133497005).

Almost surely, 2147487320731745 is an apocalyptic number.

147487320731745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

147487320731745 is a deficient number, since it is larger than the sum of its proper divisors (127130291052615).

147487320731745 is an frugal number, since it uses more digits than its factorization.

147487320731745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155030379 (or 155030358 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 147487320731745 in words is "one hundred forty-seven trillion, four hundred eighty-seven billion, three hundred twenty million, seven hundred thirty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 729 783 1215 1305 2187 2349 3645 3915 6561 7047 10935 11745 21141 32805 35235 63423 105705 190269 317115 951345 155030321 465090963 775151605 1395272889 2325454815 4185818667 4495879309 6976364445 12557456001 13487637927 20929093335 22479396545 37672368003 40462913781 62787280005 67438189635 113017104009 121388741343 188361840015 202314568905 339051312027 364166224029 565085520045 606943706715 1017153936081 1092498672087 1695256560135 1820831120145 3277496016261 5085769680405 5462493360435 9832488048783 16387480081305 29497464146349 49162440243915 147487320731745