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52274447225 = 52711213533583
BaseRepresentation
bin110000101011110011…
…001100001101111001
311222221002121001122222
4300223303030031321
51324024224302400
640003050453425
73530260320140
oct605363141571
9158832531588
1052274447225
1120195620a00
12a16a734275
134c110391a0
14275c82a757
15155e3ba185
hexc2bccc379

52274447225 has 144 divisors (see below), whose sum is σ = 89370279936. Its totient is φ = 29504217600.

The previous prime is 52274447191. The next prime is 52274447233.

52274447225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52274447225 - 214 = 52274430841 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14587784 + ... + 14591366.

It is an arithmetic number, because the mean of its divisors is an integer number (620626944).

Almost surely, 252274447225 is an apocalyptic number.

52274447225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52274447225 is a deficient number, since it is larger than the sum of its proper divisors (37095832711).

52274447225 is a wasteful number, since it uses less digits than its factorization.

52274447225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3672 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 44.

The spelling of 52274447225 in words is "fifty-two billion, two hundred seventy-four million, four hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 53 55 65 77 91 121 143 175 265 275 325 371 385 455 583 605 689 715 847 1001 1325 1573 1855 1925 2275 2915 3025 3445 3575 3583 4081 4235 4823 5005 6413 7579 7865 9275 11011 14575 17225 17915 20405 21175 24115 25025 25081 32065 37895 39325 39413 44891 46579 53053 55055 83369 89575 102025 120575 125405 160325 189475 189899 197065 224455 232895 265265 275275 275891 326053 416845 433543 512369 583583 627025 949495 985325 1122275 1164475 1326325 1329293 1379455 1630265 2084225 2088889 2167715 2468687 2561845 2917915 3034801 3586583 4747475 5636059 6646465 6897275 8151325 10444445 10838575 12343435 12809225 14589575 14622223 15174005 17280809 17932915 22977779 27155557 28180295 33232325 39452413 52222225 61717175 73111115 75870025 86404045 89664575 114888895 135777785 140901475 160844453 190088899 197262065 298711127 365555575 432020225 574444475 678888925 804222265 950444495 986310325 1493555635 2090977889 4021111325 4752222475 7467778175 10454889445 52274447225