Search a number
-
+
12607044409599 = 3414371116328867
BaseRepresentation
bin1011011101110100111001…
…1001110101100011111111
31122122012222121020020120220
42313131032121311203333
53123023211332101344
642451332442312423
72440554212241603
oct267351631654377
948565877206526
1012607044409599
1140206879a4612
1214b73b57b8713
13705aba9019a3
1431828165d503
1516ce1142ac19
hexb774e6758ff

12607044409599 has 64 divisors (see below), whose sum is σ = 17883978190848. Its totient is φ = 7889147078400.

The previous prime is 12607044409469. The next prime is 12607044409621. The reversal of 12607044409599 is 99590444070621.

It is a Cunningham number, because it is equal to 35506402-1.

It is not a de Polignac number, because 12607044409599 - 28 = 12607044409343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12607044409699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436714164 + ... + 436743030.

It is an arithmetic number, because the mean of its divisors is an integer number (279437159232).

Almost surely, 212607044409599 is an apocalyptic number.

12607044409599 is a deficient number, since it is larger than the sum of its proper divisors (5276933781249).

12607044409599 is a wasteful number, since it uses less digits than its factorization.

12607044409599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30188.

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 12607044409599 in words is "twelve trillion, six hundred seven billion, forty-four million, four hundred nine thousand, five hundred ninety-nine".

Divisors: 1 3 41 43 71 123 129 213 1163 1763 2911 3053 3489 5289 8733 9159 28867 47683 50009 82573 86601 125173 143049 150027 247719 375519 1183547 1241281 2049557 2050369 3385493 3550639 3550641 3723843 6148671 6151107 10156479 10651917 33572321 50892521 84031837 88130951 100716963 145576199 152677563 252095511 264392853 436728597 1376465161 1443609803 2383634791 3613368991 4129395483 4330829409 7150904373 10840106973 59188001923 97729026431 102496296013 177564005769 293187079293 307488888039 4202348136533 12607044409599