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55854222245855 = 51131734199711103
BaseRepresentation
bin11001011001100100100110…
…00100110111111111011111
321022202121111210010121121122
430230302103010313333133
524310103421343331410
6314443024145121155
714523222460443605
oct1454622304677737
9238677453117548
1055854222245855
1116884708383180
126320b0a0291bb
13252205219aa47
14db15046cd875
1566cd6aa3de55
hex32cc93137fdf

55854222245855 has 128 divisors (see below), whose sum is σ = 76842028892160. Its totient is φ = 38604981888000.

The previous prime is 55854222245797. The next prime is 55854222245869.

It is a happy number.

55854222245855 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55854222245855 - 26 = 55854222245791 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50638460234 + ... + 50638461336.

It is an arithmetic number, because the mean of its divisors is an integer number (600328350720).

Almost surely, 255854222245855 is an apocalyptic number.

55854222245855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55854222245855 is a deficient number, since it is larger than the sum of its proper divisors (20987806646305).

55854222245855 is a wasteful number, since it uses less digits than its factorization.

55854222245855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613.

The product of its digits is 256000000, while the sum is 62.

The spelling of 55854222245855 in words is "fifty-five trillion, eight hundred fifty-four billion, two hundred twenty-two million, two hundred forty-five thousand, eight hundred fifty-five".

Divisors: 1 5 11 31 55 73 155 341 365 419 803 971 1103 1705 2095 2263 4015 4609 4855 5515 10681 11315 12133 12989 23045 24893 30101 30587 34193 53405 60665 64945 70883 80519 124465 142879 150505 152935 170965 331111 336457 354415 376123 402595 406849 462157 714395 779713 885709 948197 1071013 1655555 1682285 1880615 2034245 2197373 2310785 2496089 3898565 4428545 4475339 4740985 5083727 5355065 10430167 10986865 11781143 12480445 12612319 14326867 22376695 24171103 25418635 27456979 29699977 33201403 33737461 52150835 58905715 63061595 71634335 78183949 120855515 137284895 138735509 148499885 157595537 166007015 168687305 326699747 365215433 371112071 390919745 448754447 693677545 787977685 860023439 920699287 1045861291 1633498735 1826077165 1855560355 2243772235 2423702419 4300117195 4603496435 4936298917 5229306455 10127692157 11504474201 12118512095 13911387857 24681494585 26660726609 32759074631 50638460785 57522371005 69556939285 133303633045 153025266427 163795373155 360349820941 765126332135 1015531313561 1801749104705 5077656567805 11170844449171 55854222245855