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127201437916 = 22742323107339
BaseRepresentation
bin111011001110111001…
…0111110100011011100
3110011022212221120011021
41312131302332203130
54041002032003131
6134234024133524
712122112245140
oct1663562764334
9404285846137
10127201437916
1149a44994003
122079b6072a4
13bcc215bc37
14622993b220
15349730ee11
hex1d9dcbe8dc

127201437916 has 24 divisors (see below), whose sum is σ = 254411256960. Its totient is φ = 54513106032.

The previous prime is 127201437907. The next prime is 127201437917. The reversal of 127201437916 is 619734102721.

It is a super-3 number, since 3×1272014379163 (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 (127201437917) 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 7 ways as a sum of consecutive naturals, for example, 1131375 + ... + 1238713.

It is an arithmetic number, because the mean of its divisors is an integer number (10600469040).

Almost surely, 2127201437916 is an apocalyptic number.

It is an amenable number.

127201437916 is an abundant number, since it is smaller than the sum of its proper divisors (127209819044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127201437916 is a wasteful number, since it uses less digits than its factorization.

127201437916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149673 (or 149671 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 127201437916 in words is "one hundred twenty-seven billion, two hundred one million, four hundred thirty-seven thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 42323 84646 107339 169292 214678 296261 429356 592522 751373 1185044 1502746 3005492 4542908497 9085816994 18171633988 31800359479 63600718958 127201437916