Search a number
-
+
29564830054755 = 3252328565053193
BaseRepresentation
bin1101011100011100110010…
…01100010111100101100011
310212200100222211200001111200
412232032121030113211203
512333342232443223010
6142513521225012243
76140663023031532
oct656163114274543
9125610884601450
1029564830054755
1194694128a3306
123395a41924083
131365c4a616b28
14742d342c0319
153640b0980cc0
hex1ae399317963

29564830054755 has 24 divisors (see below), whose sum is σ = 53473779579168. Its totient is φ = 15082348085376.

The previous prime is 29564830054723. The next prime is 29564830054757. The reversal of 29564830054755 is 55745003846592.

29564830054755 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 4 + 8 + 30 + 0 + 547 + 55 = 666.

It is not a de Polignac number, because 29564830054755 - 25 = 29564830054723 is a prime.

It is a super-2 number, since 2×295648300547552 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29564830054692 and 29564830054701.

It is not an unprimeable number, because it can be changed into a prime (29564830054757) 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, 14282525562 + ... + 14282527631.

It is an arithmetic number, because the mean of its divisors is an integer number (2228074149132).

Almost surely, 229564830054755 is an apocalyptic number.

29564830054755 is a deficient number, since it is larger than the sum of its proper divisors (23908949524413).

29564830054755 is a wasteful number, since it uses less digits than its factorization.

29564830054755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28565053227 (or 28565053224 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 29564830054755 in words is "twenty-nine trillion, five hundred sixty-four billion, eight hundred thirty million, fifty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 28565053193 85695159579 142825265965 257085478737 428475797895 656996223439 1285427393685 1970988670317 3284981117195 5912966010951 9854943351585 29564830054755