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216780506172 = 223329431160591
BaseRepresentation
bin1100100111100100100…
…0000000010000111100
3202201112210202201111000
43021321020000100330
512022431302144142
6243330530330300
721443010620346
oct3117110002074
9681483681430
10216780506172
1183a32a4291a
123601b429990
13175999c1379
14a6c6986296
15598b74114c
hex327920043c

216780506172 has 96 divisors (see below), whose sum is σ = 582756249600. Its totient is φ = 69606129600.

The previous prime is 216780506149. The next prime is 216780506191. The reversal of 216780506172 is 271605087612.

216780506172 is a `hidden beast` number, since 2 + 1 + 6 + 78 + 0 + 506 + 1 + 72 = 666.

216780506172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269597 + ... + 1430187.

It is an arithmetic number, because the mean of its divisors is an integer number (6070377600).

Almost surely, 2216780506172 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 216780506172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291378124800).

216780506172 is an abundant number, since it is smaller than the sum of its proper divisors (365975743428).

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

216780506172 is a wasteful number, since it uses less digits than its factorization.

216780506172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161064 (or 161056 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 216780506172 in words is "two hundred sixteen billion, seven hundred eighty million, five hundred six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 431 522 783 862 1044 1293 1566 1724 2586 3132 3879 5172 7758 11637 12499 15516 23274 24998 37497 46548 49996 74994 112491 149988 160591 224982 321182 337473 449964 481773 642364 674946 963546 1349892 1445319 1927092 2890638 4335957 4657139 5781276 8671914 9314278 13971417 17343828 18628556 27942834 41914251 55885668 69214721 83828502 125742753 138429442 167657004 207644163 251485506 276858884 415288326 502971012 622932489 830576652 1245864978 1868797467 2007226909 2491729956 3737594934 4014453818 6021680727 7475189868 8028907636 12043361454 18065042181 24086722908 36130084362 54195126543 72260168724 108390253086 216780506172