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12106679007407 = 172311351342673
BaseRepresentation
bin1011000000101100111001…
…0011010011100010101111
31120212101110021110011202212
42300023032103103202233
53041323434311214112
641425422003241035
72356451535425555
oct260131623234257
946771407404685
1012106679007407
113948460752036
12143643237917b
1369a868b672ca
142dbd75abdbd5
1515edc86ba522
hexb02ce4d38af

12106679007407 has 12 divisors (see below), whose sum is σ = 13275590429376. Its totient is φ = 11026956203520.

The previous prime is 12106679007337. The next prime is 12106679007431. The reversal of 12106679007407 is 70470097660121.

12106679007407 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 12106679007407 - 212 = 12106679003311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106679007607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675662378 + ... + 675680295.

It is an arithmetic number, because the mean of its divisors is an integer number (1106299202448).

Almost surely, 212106679007407 is an apocalyptic number.

12106679007407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12106679007407 is a deficient number, since it is larger than the sum of its proper divisors (1168911421969).

12106679007407 is a wasteful number, since it uses less digits than its factorization.

12106679007407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351342738 (or 1351342721 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 50.

The spelling of 12106679007407 in words is "twelve trillion, one hundred six billion, six hundred seventy-nine million, seven thousand, four hundred seven".

Divisors: 1 17 31 289 527 8959 1351342673 22972825441 41891622863 390538032497 712157588671 12106679007407