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13378645072 = 241397663097
BaseRepresentation
bin11000111010110110…
…11110110001010000
31021112101021120212001
430131123132301100
5204344413120242
610051314443344
7652351415062
oct143533366120
937471246761
1013378645072
115745995071
122714593554
131352977240
1490cb71732
155347e7eb7
hex31d6dec50

13378645072 has 40 divisors (see below), whose sum is σ = 28202884136. Its totient is φ = 6111092736.

The previous prime is 13378645069. The next prime is 13378645079. The reversal of 13378645072 is 27054687331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283046976 + 13095598096 = 16824^2 + 114436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378645079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311373 + ... + 351724.

Almost surely, 213378645072 is an apocalyptic number.

It is an amenable number.

13378645072 is an abundant number, since it is smaller than the sum of its proper divisors (14824239064).

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

13378645072 is a wasteful number, since it uses less digits than its factorization.

13378645072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663215 (or 663209 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 13378645072 in words is "thirteen billion, three hundred seventy-eight million, six hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176 663097 1326194 2652388 5304776 8620261 10609552 17240522 34481044 64320409 68962088 128640818 137924176 257281636 514563272 836165317 1029126544 1672330634 3344661268 6689322536 13378645072