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12975144385 = 572536116381
BaseRepresentation
bin11000001010110000…
…01111110111000001
31020111021000121222011
430011120033313001
5203033114110020
65543302212521
7636351623200
oct140530176701
936437017864
1012975144385
115559149025
122621424141
1312ba1ab438
148b1339237
1550e19235a
hex30560fdc1

12975144385 has 48 divisors (see below), whose sum is σ = 18757652112. Its totient is φ = 8585740800.

The previous prime is 12975144367. The next prime is 12975144389. The reversal of 12975144385 is 58344157921.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4699239601 + 8275904784 = 68551^2 + 90972^2 .

It is not a de Polignac number, because 12975144385 - 29 = 12975143873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12975144389) 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, 783895 + ... + 800275.

It is an arithmetic number, because the mean of its divisors is an integer number (390784419).

Almost surely, 212975144385 is an apocalyptic number.

It is an amenable number.

12975144385 is a deficient number, since it is larger than the sum of its proper divisors (5782507727).

12975144385 is a wasteful number, since it uses less digits than its factorization.

12975144385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16507 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The spelling of 12975144385 in words is "twelve billion, nine hundred seventy-five million, one hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 5 7 35 49 53 61 245 265 305 371 427 1855 2135 2597 2989 3233 12985 14945 16165 16381 22631 81905 113155 114667 158417 573335 792085 802669 868193 999241 4013345 4340965 4996205 6077351 6994687 30386755 34973435 42541457 48962809 52959773 212707285 244814045 264798865 370718411 1853592055 2595028877 12975144385