Search a number
-
+
216541105512536 = 237109117763301243
BaseRepresentation
bin110001001111000101100111…
…101011000110000001011000
31001101201010102221212222010202
4301033011213223012001120
5211340302141002400121
62044313335514401332
763416402313316250
oct6117054753060130
91041633387788122
10216541105512536
1162aa6626935182
122035314a130248
1393a997aa0832c
143b689070a8960
151a07ae765940b
hexc4f167ac6058

216541105512536 has 64 divisors (see below), whose sum is σ = 468279219091200. Its totient is φ = 91950838167168.

The previous prime is 216541105512421. The next prime is 216541105512539. The reversal of 216541105512536 is 635215501145612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216541105512539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718674731 + ... + 718975973.

It is an arithmetic number, because the mean of its divisors is an integer number (7316862798300).

Almost surely, 2216541105512536 is an apocalyptic number.

It is an amenable number.

216541105512536 is an abundant number, since it is smaller than the sum of its proper divisors (251738113578664).

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

216541105512536 is a wasteful number, since it uses less digits than its factorization.

216541105512536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419128 (or 419124 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 47.

The spelling of 216541105512536 in words is "two hundred sixteen trillion, five hundred forty-one billion, one hundred five million, five hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 109 218 436 763 872 1526 3052 6104 117763 235526 301243 471052 602486 824341 942104 1204972 1648682 2108701 2409944 3297364 4217402 6594728 8434804 12836167 16869608 25672334 32835487 51344668 65670974 89853169 102689336 131341948 179706338 229848409 262683896 359412676 459696818 718825352 919393636 1838787272 35475279409 70950558818 141901117636 248326955863 283802235272 496653911726 993307823452 1986615646904 3866805455581 7733610911162 15467221822324 27067638189067 30934443644648 54135276378134 108270552756268 216541105512536