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13853006053 = 172232313779
BaseRepresentation
bin11001110011011010…
…00001100011100101
31022202102212121210021
430321231001203211
5211332332143203
610210341555141
71000201415515
oct147155014345
938672777707
1013853006053
11596972a537
122827415ab1
1313ca023303
14955b71845
155612995bd
hex339b418e5

13853006053 has 72 divisors (see below), whose sum is σ = 16515322880. Its totient is φ = 11594119680.

The previous prime is 13853006047. The next prime is 13853006059. The reversal of 13853006053 is 35060035831.

13853006053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13853006047) and next prime (13853006059).

It is not a de Polignac number, because 13853006053 - 29 = 13853005541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13853006059) 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 71 ways as a sum of consecutive naturals, for example, 175354468 + ... + 175354546.

Almost surely, 213853006053 is an apocalyptic number.

It is an amenable number.

13853006053 is a deficient number, since it is larger than the sum of its proper divisors (2662316827).

13853006053 is a wasteful number, since it uses less digits than its factorization.

13853006053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 13853006053 in words is "thirteen billion, eight hundred fifty-three million, six thousand, fifty-three".

Divisors: 1 17 23 31 37 79 289 391 527 529 629 713 851 1147 1343 1817 2449 2923 6647 8959 8993 10693 12121 14467 16399 19499 19573 22831 26381 30889 41633 41791 49691 56327 67229 90613 152881 206057 245939 278783 331483 332741 448477 525113 606763 707761 710447 844747 957559 1142893 1295521 1540421 1546267 2084099 4739311 5656597 7624109 10314971 12077599 16278503 19429181 22023857 26187157 26286539 35429683 47934277 175354507 374405569 446871163 602304611 814882709 13853006053