Search a number
-
+
6106679526429 = 3210122339177691
BaseRepresentation
bin101100011011101001001…
…1101101100010000011101
3210121210101222212222211200
41120313102131230100131
51300022434424321204
620553211515310113
71200123132345516
oct130672235542035
923553358788750
106106679526429
111a44912434629
1282762274b339
13353b1b959831
141717c9dc7a0d
15a8cae7d6539
hex58dd276c41d

6106679526429 has 48 divisors (see below), whose sum is σ = 8951488326144. Its totient is φ = 4011190128000.

The previous prime is 6106679526383. The next prime is 6106679526473. The reversal of 6106679526429 is 9246259766016.

6106679526429 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 67 + 9 + 526 + 42 + 9 = 666.

It is not a de Polignac number, because 6106679526429 - 213 = 6106679518237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106679536429) 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, 793999474 + ... + 794007164.

It is an arithmetic number, because the mean of its divisors is an integer number (186489340128).

Almost surely, 26106679526429 is an apocalyptic number.

It is an amenable number.

6106679526429 is a deficient number, since it is larger than the sum of its proper divisors (2844808799715).

6106679526429 is a wasteful number, since it uses less digits than its factorization.

6106679526429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11935 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6106679526429 in words is "six trillion, one hundred six billion, six hundred seventy-nine million, five hundred twenty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 101 223 303 669 909 2007 3917 7691 11751 22523 23073 35253 67569 69219 202707 395617 776791 873491 1186851 1715093 2330373 2620473 3560553 5145279 6991119 7861419 15435837 30125647 88222591 90376941 173224393 264667773 271130823 519673179 794003319 1559019537 3042690347 6718019281 9128071041 20154057843 27384213123 60462173529 678519947381 2035559842143 6106679526429