Search a number
-
+
2028169493568 = 263219118435223
BaseRepresentation
bin11101100000111000010…
…100100111110001000000
321011220001121201101120200
4131200320110213301000
5231212142342243233
64151421143005200
7266346634151331
oct35407024476100
97156047641520
102028169493568
11712161894289
122890a5a39800
13119342617a6a
1470241b60288
1537b56074313
hex1d838527c40

2028169493568 has 84 divisors (see below), whose sum is σ = 5843818526208. Its totient is φ = 672516898560.

The previous prime is 2028169493513. The next prime is 2028169493591. The reversal of 2028169493568 is 8653949618202.

2028169493568 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 1 + 69 + 4 + 9 + 3 + 568 = 666.

It is a super-2 number, since 2×20281694935682 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9107596 + ... + 9327627.

Almost surely, 22028169493568 is an apocalyptic number.

It is an amenable number.

2028169493568 is an abundant number, since it is smaller than the sum of its proper divisors (3815649032640).

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

2028169493568 is a wasteful number, since it uses less digits than its factorization.

2028169493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435432 (or 18435419 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2028169493568 in words is "two trillion, twenty-eight billion, one hundred sixty-nine million, four hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 55008 110016 18435223 36870446 55305669 73740892 110611338 147481784 165917007 221222676 294963568 331834014 442445352 589927136 663668028 884890704 1179854272 1327336056 1769781408 2654672112 3521127593 3539562816 5309344224 7042255186 10563382779 10618688448 14084510372 21126765558 28169020744 31690148337 42253531116 56338041488 63380296674 84507062232 112676082976 126760593348 169014124464 225352165952 253521186696 338028248928 507042373392 676056497856 1014084746784 2028169493568