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126690032079 = 32137134743951
BaseRepresentation
bin111010111111101010…
…0000111100111001111
3110010000020122110020100
41311333110013213033
54033430122011304
6134111155022143
712103332335052
oct1657724074717
9403006573210
10126690032079
1149802247256
122067829a953
13bc40212430
1461bba56a99
153467492439
hex1d7f5079cf

126690032079 has 48 divisors (see below), whose sum is σ = 200429558784. Its totient is φ = 76641768000.

The previous prime is 126690032057. The next prime is 126690032083. The reversal of 126690032079 is 970230096621.

It is a happy number.

It is not a de Polignac number, because 126690032079 - 212 = 126690027983 is a prime.

It is a super-3 number, since 3×1266900320793 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126690031079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860554 + ... + 2904504.

It is an arithmetic number, because the mean of its divisors is an integer number (4175615808).

Almost surely, 2126690032079 is an apocalyptic number.

126690032079 is a deficient number, since it is larger than the sum of its proper divisors (73739526705).

126690032079 is a wasteful number, since it uses less digits than its factorization.

126690032079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44388 (or 44385 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 126690032079 in words is "one hundred twenty-six billion, six hundred ninety million, thirty-two thousand, seventy-nine".

Divisors: 1 3 9 13 39 71 117 213 347 639 923 1041 2769 3123 4511 8307 13533 24637 40599 43951 73911 131853 221733 320281 395559 571363 960843 1714089 2882529 3120521 5142267 9361563 15250997 28084689 40566773 45752991 121700319 137258973 198262961 365100957 594788883 1082820787 1784366649 3248462361 9745387083 14076670231 42230010693 126690032079