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215347541482116 = 22354671261137619
BaseRepresentation
bin110000111101101110000001…
…101101101001101010000100
31001020111000122102120222200000
4300331232001231221222010
5211211223231104411431
62042001143403121300
763234226554414021
oct6075560155515204
91036430572528600
10215347541482116
116268641a08230a
122019b967b13230
139321255912b64
143b26c3b638548
1519d6a3c9c29e6
hexc3db81b69a84

215347541482116 has 144 divisors (see below), whose sum is σ = 565780571516160. Its totient is φ = 71621220172320.

The previous prime is 215347541482081. The next prime is 215347541482133. The reversal of 215347541482116 is 611284145743512.

215347541482116 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 4 + 7 + 5 + 41 + 482 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5724416755 + ... + 5724454373.

It is an arithmetic number, because the mean of its divisors is an integer number (3929031746640).

Almost surely, 2215347541482116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215347541482116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282890285758080).

215347541482116 is an abundant number, since it is smaller than the sum of its proper divisors (350433030034044).

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

215347541482116 is a wasteful number, since it uses less digits than its factorization.

215347541482116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50716 (or 50702 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 215347541482116 in words is "two hundred fifteen trillion, three hundred forty-seven billion, five hundred forty-one million, four hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 467 486 934 972 1401 1868 2802 4203 5604 8406 12609 12611 16812 25218 25222 37619 37827 37833 50436 50444 75238 75654 75666 112857 113481 113499 150476 151308 151332 225714 226962 226998 338571 340497 451428 453924 453996 677142 680994 1015713 1021491 1354284 1361988 2031426 2042982 3047139 3064473 4062852 4085964 5889337 6094278 6128946 9141417 11778674 12188556 12257892 17568073 17668011 18282834 23557348 35136146 35336022 36565668 52704219 53004033 70272292 70672044 105408438 106008066 158112657 159012099 210816876 212016132 316225314 318024198 474337971 474413209 477036297 632450628 636048396 948675942 948826418 954072594 1423013913 1423239627 1431108891 1897351884 1897652836 1908145188 2846027826 2846479254 2862217782 4269041739 4269718881 5692055652 5692958508 5724435564 8538083478 8539437762 12809156643 17076166956 17078875524 25618313286 38427469929 51236626572 76854939858 115282409787 153709879716 221550968603 230564819574 443101937206 461129639148 664652905809 886203874412 1329305811618 1993958717427 2658611623236 3987917434854 5981876152281 7975834869708 11963752304562 17945628456843 23927504609124 35891256913686 53836885370529 71782513827372 107673770741058 215347541482116