Search a number
-
+
146108835747 = 3779543983
BaseRepresentation
bin1000100000010011000…
…0111110011110100011
3111222010120112220000000
42020010300332132203
54343212330220442
6151042123231043
713361466420030
oct2100460763643
9458116486000
10146108835747
1156a676a0926
1224397678483
1310a163761c4
147100a8c387
153c021a6d4c
hex2204c3e7a3

146108835747 has 32 divisors (see below), whose sum is σ = 250434140160. Its totient is φ = 83490754536.

The previous prime is 146108835721. The next prime is 146108835907. The reversal of 146108835747 is 747538801641.

146108835747 is a `hidden beast` number, since 1 + 4 + 61 + 0 + 8 + 8 + 3 + 574 + 7 = 666.

It is not a de Polignac number, because 146108835747 - 26 = 146108835683 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146108835693 and 146108835702.

It is not an unprimeable number, because it can be changed into a prime (146108835247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4756683 + ... + 4787300.

It is an arithmetic number, because the mean of its divisors is an integer number (7826066880).

Almost surely, 2146108835747 is an apocalyptic number.

146108835747 is a deficient number, since it is larger than the sum of its proper divisors (104325304413).

146108835747 is an frugal number, since it uses more digits than its factorization.

146108835747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544011 (or 9543993 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 146108835747 in words is "one hundred forty-six billion, one hundred eight million, eight hundred thirty-five thousand, seven hundred forty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 15309 9543983 28631949 66807881 85895847 200423643 257687541 601270929 773062623 1803812787 2319187869 5411438361 6957563607 16234315083 20872690821 48702945249 146108835747