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2252368098927 = 34877122925799
BaseRepresentation
bin100000110001101011100…
…110011011011001101111
321222022202101221121010000
4200301223212123121233
5243400322213131202
64442420145115343
7321504531644232
oct40615346333157
97868671847100
102252368098927
11799251088891
12304635628b53
1313452211c81b
147b02d9b9419
153d8c8b6a91c
hex20c6b99b66f

2252368098927 has 40 divisors (see below), whose sum is σ = 3371356692000. Its totient is φ = 1498588070976.

The previous prime is 2252368098913. The next prime is 2252368098973. The reversal of 2252368098927 is 7298908632522.

2252368098927 is a `hidden beast` number, since 2 + 2 + 523 + 6 + 8 + 0 + 9 + 89 + 27 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2252368098927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252368098727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87291574 + ... + 87317372.

It is an arithmetic number, because the mean of its divisors is an integer number (84283917300).

Almost surely, 22252368098927 is an apocalyptic number.

2252368098927 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2252368098927 is a deficient number, since it is larger than the sum of its proper divisors (1118988593073).

2252368098927 is a wasteful number, since it uses less digits than its factorization.

2252368098927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27917 (or 27908 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2252368098927 in words is "two trillion, two hundred fifty-two billion, three hundred sixty-eight million, ninety-eight thousand, nine hundred twenty-seven".

Divisors: 1 3 9 27 81 877 1229 2631 3687 7893 11061 23679 25799 33183 71037 77397 99549 232191 696573 1077833 2089719 3233499 9700497 22625723 29101491 31706971 67877169 87304473 95120913 203631507 285362739 610894521 856088217 1832683563 2568264651 27807013567 83421040701 250263122103 750789366309 2252368098927