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216265631232 = 293776126431
BaseRepresentation
bin1100100101101001101…
…1111010011000000000
3202200012220221100211210
43021122123322120000
512020403000144412
6243203455010120
721424156351260
oct3113233723000
9680186840753
10216265631232
1183799346742
1235ab6b09940
131751712b841
14a67843b7a0
15595b43a83c
hex325a6fa600

216265631232 has 160 divisors (see below), whose sum is σ = 659341799424. Its totient is φ = 61706649600.

The previous prime is 216265631203. The next prime is 216265631233. The reversal of 216265631232 is 232136562612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216265631233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8169057 + ... + 8195487.

Almost surely, 2216265631232 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 216265631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329670899712).

216265631232 is an abundant number, since it is smaller than the sum of its proper divisors (443076168192).

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

216265631232 is an equidigital number, since it uses as much as digits as its factorization.

216265631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27220 (or 27204 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The spelling of 216265631232 in words is "two hundred sixteen billion, two hundred sixty-five million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 761 768 896 1344 1522 1536 1792 2283 2688 3044 3584 4566 5327 5376 6088 9132 10654 10752 12176 15981 18264 21308 24352 26431 31962 36528 42616 48704 52862 63924 73056 79293 85232 97408 105724 127848 146112 158586 170464 185017 194816 211448 255696 292224 317172 340928 370034 389632 422896 511392 555051 584448 634344 681856 740068 845792 1022784 1110102 1168896 1268688 1363712 1480136 1691584 2045568 2220204 2537376 2727424 2960272 3383168 4091136 4440408 5074752 5920544 6766336 8182272 8880816 10149504 11841088 13532672 17761632 20113991 20299008 23682176 35523264 40227982 40598016 47364352 60341973 71046528 80455964 94728704 120683946 140797937 142093056 160911928 241367892 281595874 284186112 321823856 422393811 482735784 563191748 643647712 844787622 965471568 1126383496 1287295424 1689575244 1930943136 2252766992 2574590848 3379150488 3861886272 4505533984 5149181696 6758300976 7723772544 9011067968 10298363392 13516601952 15447545088 18022135936 27033203904 30895090176 36044271872 54066407808 72088543744 108132815616 216265631232