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55105005645 = 3351921816247
BaseRepresentation
bin110011010100100000…
…111010100001001101
312021020100210022212000
4303110200322201031
51400323340140040
641152003302513
73660360551064
oct632440724115
9167210708760
1055105005645
1121408380388
12a81a67aa39
1352725a5621
14294a7271db
151677b3e130
hexcd483a84d

55105005645 has 96 divisors (see below), whose sum is σ = 103979715840. Its totient is φ = 27684270720.

The previous prime is 55105005619. The next prime is 55105005667. The reversal of 55105005645 is 54650050155.

55105005645 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 5 + 0 + 0 + 5 + 645 = 666.

It is not a de Polignac number, because 55105005645 - 29 = 55105005133 is a prime.

It is a super-3 number, since 3×551050056453 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8817912 + ... + 8824158.

It is an arithmetic number, because the mean of its divisors is an integer number (1083122040).

Almost surely, 255105005645 is an apocalyptic number.

It is an amenable number.

55105005645 is a deficient number, since it is larger than the sum of its proper divisors (48874710195).

55105005645 is a wasteful number, since it uses less digits than its factorization.

55105005645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 55105005645 in words is "fifty-five billion, one hundred five million, five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 181 285 361 513 543 855 905 1083 1629 1805 2565 2715 3249 3439 4887 5415 6247 8145 9747 10317 16245 17195 18741 24435 30951 31235 48735 51585 56223 65341 92853 93705 118693 154755 168669 196023 281115 326705 356079 464265 588069 593465 843345 980115 1068237 1130707 1764207 1780395 2255167 2940345 3204711 3392121 5341185 5653535 6765501 8821035 10176363 11275835 16023555 16960605 20296503 21483433 30529089 33827505 50881815 60889509 64450299 101482515 107417165 152645445 193350897 304447545 322251495 408185227 580052691 966754485 1224555681 2040926135 2900263455 3673667043 6122778405 11021001129 18368335215 55105005645