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146233349756 = 22137390742473
BaseRepresentation
bin1000100000110000101…
…1111101011001111100
3111222110020211212002222
42020030023331121330
54343441214143011
6151102332104512
713364540651444
oct2101413753174
9458406755088
10146233349756
1157020a0606a
1224411305138
1310a360c0930
147113421124
153c0d09eddb
hex220c2fd67c

146233349756 has 48 divisors (see below), whose sum is σ = 279683474784. Its totient is φ = 66492804096.

The previous prime is 146233349741. The next prime is 146233349797. The reversal of 146233349756 is 657943332641.

It is a happy number.

146233349756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146233349698 and 146233349707.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3421736 + ... + 3464208.

It is an arithmetic number, because the mean of its divisors is an integer number (5826739058).

Almost surely, 2146233349756 is an apocalyptic number.

It is an amenable number.

146233349756 is a deficient number, since it is larger than the sum of its proper divisors (133450125028).

146233349756 is a wasteful number, since it uses less digits than its factorization.

146233349756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43470 (or 43468 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 53.

The spelling of 146233349756 in words is "one hundred forty-six billion, two hundred thirty-three million, three hundred forty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 26 52 73 146 292 907 949 1814 1898 3628 3796 11791 23582 42473 47164 66211 84946 132422 169892 264844 552149 860743 1104298 1721486 2208596 3100529 3442972 6201058 12402116 38523011 40306877 77046022 80613754 154092044 161227508 500799143 1001598286 2003196572 2812179803 5624359606 11248719212 36558337439 73116674878 146233349756