Search a number
-
+
55366623506007 = 321131181821121403
BaseRepresentation
bin11001001011011000010111…
…11011010010111001010111
321021000222221012002012011200
430211230023323102321113
524224111321104143012
6313431024204003543
714443051354521522
oct1445541373227127
9237028835065150
1055366623506007
1116706942623010
12626250a2305b3
1324b8086377838
14d95a8a4d9bb9
1566032d9dd3dc
hex325b0bed2e57

55366623506007 has 96 divisors (see below), whose sum is σ = 90667319887872. Its totient is φ = 32254083360000.

The previous prime is 55366623505993. The next prime is 55366623506011. The reversal of 55366623506007 is 70060532666355.

It is not a de Polignac number, because 55366623506007 - 211 = 55366623503959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55366623506057) 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, 455995768 + ... + 456117170.

It is an arithmetic number, because the mean of its divisors is an integer number (944451248832).

Almost surely, 255366623506007 is an apocalyptic number.

55366623506007 is a deficient number, since it is larger than the sum of its proper divisors (35300696381865).

55366623506007 is a wasteful number, since it uses less digits than its factorization.

55366623506007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122453 (or 122450 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 55366623506007 in words is "fifty-five trillion, three hundred sixty-six billion, six hundred twenty-three million, five hundred six thousand, seven".

Divisors: 1 3 9 11 31 33 93 99 181 279 341 543 821 1023 1629 1991 2463 3069 5611 5973 7389 9031 16833 17919 25451 27093 50499 61721 76353 81279 121403 148601 185163 229059 279961 364209 445803 555489 839883 1092627 1335433 1337409 1634611 2519649 3763493 4006299 4606631 4903833 11290479 12018897 13819893 14711499 21973943 33871437 41398423 41459679 50672941 65921829 99671863 124195269 152018823 197765487 241713373 299015589 372585807 456056469 681192233 725140119 897046767 1096390493 2043576699 2175420357 3089827753 3289171479 6130730097 7493114563 9269483259 9867514437 18040607203 22479343689 27808449777 33988105283 54121821609 67438031067 101964315849 162365464827 198446679233 305892947547 559258823293 595340037699 1677776469879 1786020113097 5033329409637 6151847056223 18455541168669 55366623506007