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2427725547663 = 313223210498629
BaseRepresentation
bin100011010100111111101…
…110000000100010001111
322121002101100220222021120
4203110333232000202033
5304233440220011123
65055140503532023
7340253205446403
oct43247756004217
98532340828246
102427725547663
11856657865539
1233261445a013
13147c19c98c00
1485706d9d103
154323d9c82e3
hex2353fb8088f

2427725547663 has 72 divisors (see below), whose sum is σ = 3668058954000. Its totient is φ = 1427501357568.

The previous prime is 2427725547647. The next prime is 2427725547691. The reversal of 2427725547663 is 3667455277242.

2427725547663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2427725547663 - 24 = 2427725547647 is a prime.

It is a super-2 number, since 2×24277255476632 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2427725547597 and 2427725547606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427725540663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281340633 + ... + 281349261.

It is an arithmetic number, because the mean of its divisors is an integer number (50945263250).

Almost surely, 22427725547663 is an apocalyptic number.

2427725547663 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2427725547663 is a deficient number, since it is larger than the sum of its proper divisors (1240333406337).

2427725547663 is a wasteful number, since it uses less digits than its factorization.

2427725547663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9717 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 60.

The spelling of 2427725547663 in words is "two trillion, four hundred twenty-seven billion, seven hundred twenty-five million, five hundred forty-seven thousand, six hundred sixty-three".

Divisors: 1 3 13 23 39 69 169 299 507 529 897 1049 1587 3147 3887 6877 8629 11661 13637 20631 24127 25887 40911 72381 89401 112177 177281 198467 268203 313651 336531 531843 554921 595401 940953 1458301 1664763 2580071 4077463 4374903 4564741 7213973 7740213 9051821 12232389 13694223 21641919 27155463 33540923 59341633 93781649 100622769 117673673 178024899 208191883 281344947 353021019 624575649 771441229 1529757749 2314323687 2706494479 4589273247 4788413309 8119483437 14365239927 35184428227 62249373017 105553284681 186748119051 809241849221 2427725547663