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13742760603 = 3111341781327
BaseRepresentation
bin11001100110010000…
…11110001010011011
31022110202102120110110
430303020132022123
5211121121314403
610151403015403
7664362352305
oct146310361233
938422376413
1013742760603
1159124804a0
1227b650a563
1313b0233310
14945274975
1555676e103
hex33321e29b

13742760603 has 32 divisors (see below), whose sum is σ = 22052201472. Its totient is φ = 7500729600.

The previous prime is 13742760601. The next prime is 13742760617. The reversal of 13742760603 is 30606724731.

13742760603 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13742760603 - 21 = 13742760601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13742760601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373075 + ... + 408252.

It is an arithmetic number, because the mean of its divisors is an integer number (689131296).

Almost surely, 213742760603 is an apocalyptic number.

13742760603 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13742760603 is a deficient number, since it is larger than the sum of its proper divisors (8309440869).

13742760603 is a wasteful number, since it uses less digits than its factorization.

13742760603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781395.

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 13742760603 in words is "thirteen billion, seven hundred forty-two million, seven hundred sixty thousand, six hundred three".

Divisors: 1 3 11 13 33 39 41 123 143 429 451 533 1353 1599 5863 17589 781327 2343981 8594597 10157251 25783791 30471753 32034407 96103221 111729761 335189283 352378477 416447291 1057135431 1249341873 4580920201 13742760603