Search a number
-
+
28714601743146 = 23211909115952397
BaseRepresentation
bin1101000011101101000111…
…01000110000001100101010
310202200002101222002201020200
412201312203220300030222
512230430001021240041
6141023150025333030
76022363412442324
oct641664350601452
9122602358081220
1028714601743146
119170881106690
1232790ba037176
131303a1050cb17
14713b19196614
1534bdecc4b1b6
hex1a1da3a3032a

28714601743146 has 48 divisors (see below), whose sum is σ = 67878346824288. Its totient is φ = 8700436778400.

The previous prime is 28714601743133. The next prime is 28714601743147. The reversal of 28714601743146 is 64134710641782.

28714601743146 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 460 + 174 + 3 + 1 + 4 + 6 = 666.

It is a super-3 number, since 3×287146017431463 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 28714601743092 and 28714601743101.

It is not an unprimeable number, because it can be changed into a prime (28714601743147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6176181 + ... + 9776216.

It is an arithmetic number, because the mean of its divisors is an integer number (1414132225506).

Almost surely, 228714601743146 is an apocalyptic number.

28714601743146 is an abundant number, since it is smaller than the sum of its proper divisors (39163745081142).

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

28714601743146 is a wasteful number, since it uses less digits than its factorization.

28714601743146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15961507 (or 15961504 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28714601743146 in words is "twenty-eight trillion, seven hundred fourteen billion, six hundred one million, seven hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 9091 18182 27273 54546 81819 100001 163638 200002 300003 600006 900009 1800018 15952397 31904794 47857191 95714382 143571573 175476367 287143146 350952734 526429101 1052858202 1579287303 3158574606 145023241127 290046482254 435069723381 870139446762 1305209170143 1595255652397 2610418340286 3190511304794 4785766957191 9571533914382 14357300871573 28714601743146