Search a number
-
+
216542183103552 = 2631579171421941
BaseRepresentation
bin110001001111000110100111…
…111001110001110001000000
31001101201020020001120021010010
4301033012213321301301000
5211340311342333303202
62044314034451104520
763416441106561105
oct6117064771616100
91041636201507103
10216542183103552
1162aa702a134269
12203533aaba2140
1393a9ac0041257
143b689aa252aac
151a07b5c06576c
hexc4f1a7e71c40

216542183103552 has 56 divisors (see below), whose sum is σ = 572970816496512. Its totient is φ = 72176155686400.

The previous prime is 216542183103551. The next prime is 216542183103559. The reversal of 216542183103552 is 255301381245612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (216542183103551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32679099 + ... + 38742842.

It is an arithmetic number, because the mean of its divisors is an integer number (10231621723152).

Almost surely, 2216542183103552 is an apocalyptic number.

It is an amenable number.

216542183103552 is an abundant number, since it is smaller than the sum of its proper divisors (356428633392960).

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

216542183103552 is a wasteful number, since it uses less digits than its factorization.

216542183103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71437747 (or 71437737 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 216542183103552 in words is "two hundred sixteen trillion, five hundred forty-two billion, one hundred eighty-three million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 15791 31582 47373 63164 94746 126328 189492 252656 378984 505312 757968 1010624 1515936 3031872 71421941 142843882 214265823 285687764 428531646 571375528 857063292 1142751056 1714126584 2285502112 3428253168 4571004224 6856506336 13713012672 1127823870331 2255647740662 3383471610993 4511295481324 6766943221986 9022590962648 13533886443972 18045181925296 27067772887944 36090363850592 54135545775888 72180727701184 108271091551776 216542183103552