Search a number
-
+
55352187016686 = 23374725712123053
BaseRepresentation
bin11001001010111101011110…
…11100011101010111101110
321020222121200002021112211000
430211132233130131113232
524223342234334013221
6313420235455541130
714442030536424420
oct1445365734352756
9236877602245730
1055352187016686
11167008045a69aa
12625b75b52a7a6
1324b68c54bc771
14d950bb080810
1565ec863d9e26
hex3257af71d5ee

55352187016686 has 128 divisors (see below), whose sum is σ = 144126624706560. Its totient is φ = 15418194518016.

The previous prime is 55352187016669. The next prime is 55352187016727. The reversal of 55352187016686 is 68661078125355.

55352187016686 is a `hidden beast` number, since 5 + 535 + 2 + 1 + 8 + 7 + 0 + 16 + 6 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1495665 + ... + 10627388.

It is an arithmetic number, because the mean of its divisors is an integer number (1125989255520).

Almost surely, 255352187016686 is an apocalyptic number.

55352187016686 is an abundant number, since it is smaller than the sum of its proper divisors (88774437689874).

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

55352187016686 is a wasteful number, since it uses less digits than its factorization.

55352187016686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123375 (or 12123369 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 55352187016686 in words is "fifty-five trillion, three hundred fifty-two billion, one hundred eighty-seven million, sixteen thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 257 282 329 378 423 514 658 771 846 987 1269 1542 1799 1974 2313 2538 2961 3598 4626 5397 5922 6939 8883 10794 12079 13878 16191 17766 24158 32382 36237 48573 72474 84553 97146 108711 169106 217422 253659 326133 507318 652266 760977 1521954 2282931 4565862 12123053 24246106 36369159 72738318 84861371 109107477 169722742 218214954 254584113 327322431 509168226 569783491 654644862 763752339 1139566982 1527504678 1709350473 2291257017 3115624621 3418700946 3988484437 4582514034 5128051419 6231249242 7976968874 9346873863 10256102838 11965453311 15384154257 18693747726 21809372347 23930906622 28040621589 30768308514 35896359933 43618744694 56081243178 65428117041 71792719866 84121864767 107689079799 130856234082 146434357187 168243729534 196284351123 215378159598 292868714374 392568702246 439303071561 588853053369 878606143122 1025040500309 1177706106738 1317909214683 2050081000618 2635818429366 3075121500927 3953727644049 6150243001854 7907455288098 9225364502781 18450729005562 27676093508343 55352187016686