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55645340058 = 232711181221813
BaseRepresentation
bin110011110100101110…
…001000000110011010
312022122000112011022200
4303310232020012122
51402430201340213
641321344431030
74006641405060
oct636456100632
9168560464280
1055645340058
1121665386650
12a94b618476
13532a510529
14299c3bc030
1516aa2c3273
hexcf4b8819a

55645340058 has 96 divisors (see below), whose sum is σ = 151145834112. Its totient is φ = 14373417600.

The previous prime is 55645340057. The next prime is 55645340089. The reversal of 55645340058 is 85004354655.

55645340058 is a `hidden beast` number, since 5 + 5 + 64 + 534 + 0 + 0 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55645339995 and 55645340022.

It is not an unprimeable number, because it can be changed into a prime (55645340057) 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 47 ways as a sum of consecutive naturals, for example, 139960 + ... + 361772.

It is an arithmetic number, because the mean of its divisors is an integer number (1574435772).

Almost surely, 255645340058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55645340058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75572917056).

55645340058 is an abundant number, since it is smaller than the sum of its proper divisors (95500494054).

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

55645340058 is a wasteful number, since it uses less digits than its factorization.

55645340058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222020 (or 222017 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 55645340058 in words is "fifty-five billion, six hundred forty-five million, three hundred forty thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 181 198 231 362 462 543 693 1086 1267 1386 1629 1991 2534 3258 3801 3982 5973 7602 11403 11946 13937 17919 22806 27874 35838 41811 83622 125433 221813 250866 443626 665439 1330878 1552691 1996317 2439943 3105382 3992634 4658073 4879886 7319829 9316146 13974219 14639658 17079601 21959487 27948438 34159202 40148153 43918974 51238803 80296306 102477606 120444459 153716409 240888918 281037071 307432818 361333377 441629683 562074142 722666754 843111213 883259366 1324889049 1686222426 2529333639 2649778098 3091407781 3974667147 5058667278 6182815562 7949334294 9274223343 18548446686 27822670029 55645340058