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13740600447 = 327475978653
BaseRepresentation
bin11001100110000000…
…01110110001111111
31022110121100211021200
430303000032301333
5211120043203242
610151244430543
7664335114420
oct146300166177
938417324250
1013740600447
115911235542
1227b5848453
1313ac958012
14944c71647
1555649404c
hex33300ec7f

13740600447 has 48 divisors (see below), whose sum is σ = 23558446080. Its totient is φ = 7554367296.

The previous prime is 13740600413. The next prime is 13740600473. The reversal of 13740600447 is 74400604731.

It is a happy number.

13740600447 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 600 + 4 + 47 = 666.

It is not a de Polignac number, because 13740600447 - 28 = 13740600191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740400447) 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, 135373 + ... + 214025.

It is an arithmetic number, because the mean of its divisors is an integer number (490800960).

Almost surely, 213740600447 is an apocalyptic number.

13740600447 is a deficient number, since it is larger than the sum of its proper divisors (9817845633).

13740600447 is a wasteful number, since it uses less digits than its factorization.

13740600447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78772 (or 78769 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13740600447 in words is "thirteen billion, seven hundred forty million, six hundred thousand, four hundred forty-seven".

Divisors: 1 3 7 9 21 47 59 63 141 177 329 413 423 531 987 1239 2773 2961 3717 8319 19411 24957 58233 78653 174699 235959 550571 707877 1651713 3696691 4640527 4955139 11090073 13921581 25876837 32483689 33270219 41764743 77630511 97451067 218104769 232891533 292353201 654314307 1526733383 1962942921 4580200149 13740600447