Search a number
-
+
55005100605 = 32571319706961
BaseRepresentation
bin110011001110100011…
…110011101000111101
312020222101210121220100
4303032203303220331
51400122301204410
641134034111313
73655035432540
oct631643635075
9166871717810
1055005100605
1121366a44234
12a7b111b539
135257996110
14293b35c857
15166dea78c0
hexcce8f3a3d

55005100605 has 96 divisors (see below), whose sum is σ = 123520400640. Its totient is φ = 21989283840.

The previous prime is 55005100597. The next prime is 55005100607. The reversal of 55005100605 is 50600150055.

55005100605 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 51 + 0 + 0 + 605 = 666.

It is not a de Polignac number, because 55005100605 - 23 = 55005100597 is a prime.

It is a super-2 number, since 2×550051006052 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55005100607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275676 + ... + 431285.

It is an arithmetic number, because the mean of its divisors is an integer number (1286670840).

Almost surely, 255005100605 is an apocalyptic number.

It is an amenable number.

55005100605 is an abundant number, since it is smaller than the sum of its proper divisors (68515300035).

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

55005100605 is a wasteful number, since it uses less digits than its factorization.

55005100605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707011 (or 707008 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 55005100605 in words is "fifty-five billion, five million, one hundred thousand, six hundred five".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 57 63 65 91 95 105 117 133 171 195 247 273 285 315 399 455 585 665 741 819 855 1197 1235 1365 1729 1995 2223 3705 4095 5187 5985 8645 11115 15561 25935 77805 706961 2120883 3534805 4948727 6362649 9190493 10604415 13432259 14846181 24743635 27571479 31813245 40296777 44538543 45952465 64333451 67161295 74230905 82714437 94025813 120890331 137857395 174619367 193000353 201483885 222692715 282077439 321667255 413572185 470129065 523858101 579001059 604451655 846232317 873096835 965001765 1222335569 1410387195 1571574303 2619290505 2895005295 3667006707 4231161585 6111677845 7857871515 11001020121 18335033535 55005100605