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55079464518252 = 22328397367151767
BaseRepresentation
bin11001000011000001011111…
…11010101100001001101100
321020000112201120210011200200
430201200233322230021230
524204410220404041002
6313051053502153500
714413234322431506
oct1441405772541154
9236015646704620
1055079464518252
1116606084890329
126216929282890
132496c819c2b35
14d85c08978d76
15657b23828b1c
hex32182feac26c

55079464518252 has 144 divisors (see below), whose sum is σ = 142400270218752. Its totient is φ = 17946385966080.

The previous prime is 55079464518157. The next prime is 55079464518259. The reversal of 55079464518252 is 25281546497055.

55079464518252 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 9 + 4 + 64 + 518 + 2 + 52 = 666.

It is a super-2 number, since 2×550794645182522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55079464518252.

It is not an unprimeable number, because it can be changed into a prime (55079464518259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063962073 + ... + 1064013839.

It is an arithmetic number, because the mean of its divisors is an integer number (988890765408).

Almost surely, 255079464518252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55079464518252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71200135109376).

55079464518252 is an abundant number, since it is smaller than the sum of its proper divisors (87320805700500).

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

55079464518252 is a wasteful number, since it uses less digits than its factorization.

55079464518252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55628 (or 55623 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 55079464518252 in words is "fifty-five trillion, seventy-nine billion, four hundred sixty-four million, five hundred eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 97 166 194 249 291 332 388 498 582 747 873 996 1164 1494 1746 2988 3492 3671 7342 8051 11013 14684 16102 22026 24153 32204 33039 44052 48306 51767 66078 72459 96612 103534 132156 144918 155301 207068 289836 304693 310602 356087 465903 609386 621204 712174 914079 931806 1068261 1218772 1424348 1828158 1863612 2136522 2742237 3204783 3656316 4273044 4296661 5021399 5484474 6409566 8593322 10042798 10968948 12819132 12889983 15064197 17186644 20085596 25779966 29555221 30128394 38669949 45192591 51559932 59110442 60256788 77339898 88665663 90385182 118220884 154679796 177331326 180770364 190036657 265996989 354662652 380073314 416776117 531993978 570109971 760146628 833552234 1063987956 1140219942 1250328351 1667104468 1710329913 2280439884 2500656702 3420659826 3750985053 5001313404 6841319652 7501970106 15003940212 15773042531 18433555729 31546085062 36867111458 47319127593 55300667187 63092170124 73734222916 94638255186 110601334374 141957382779 165902001561 189276510372 221202668748 283914765558 331804003122 567829531116 663608006244 1529985125507 3059970251014 4589955376521 6119940502028 9179910753042 13769866129563 18359821506084 27539732259126 55079464518252