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13742124916 = 22132312790473
BaseRepresentation
bin11001100110001100…
…00010111101110100
31022110201020021110111
430303012002331310
5211120440444131
610151341232404
7664354064062
oct146306027564
938421207414
1013742124916
115912086933
1227b6262704
1313b006cb80
1494514b032
15556695ab1
hex333182f74

13742124916 has 48 divisors (see below), whose sum is σ = 27237740544. Its totient is φ = 6018921216.

The previous prime is 13742124901. The next prime is 13742124919. The reversal of 13742124916 is 61942124731.

13742124916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742124919) 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 15 ways as a sum of consecutive naturals, for example, 106656 + ... + 197128.

It is an arithmetic number, because the mean of its divisors is an integer number (567452928).

Almost surely, 213742124916 is an apocalyptic number.

It is an amenable number.

13742124916 is a deficient number, since it is larger than the sum of its proper divisors (13495615628).

13742124916 is a wasteful number, since it uses less digits than its factorization.

13742124916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90640 (or 90638 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The spelling of 13742124916 in words is "thirteen billion, seven hundred forty-two million, one hundred twenty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 13 23 26 46 52 92 127 254 299 508 598 1196 1651 2921 3302 5842 6604 11684 37973 75946 90473 151892 180946 361892 1176149 2080879 2352298 4161758 4704596 8323516 11490071 22980142 27051427 45960284 54102854 108205708 149370923 264271633 298741846 528543266 597483692 1057086532 3435531229 6871062458 13742124916