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29681612541 = 347427312251
BaseRepresentation
bin11011101001001010…
…010111011011111101
32211121120012010220000
4123221022113123331
5441241443100131
621345135544513
72100352354350
oct335112273375
984546163800
1029681612541
11116515508a9
12590438b139
132a50429b59
14161804a297
15b8abd6ce6
hex6e92976fd

29681612541 has 40 divisors (see below), whose sum is σ = 50689366464. Its totient is φ = 16955568000.

The previous prime is 29681612483. The next prime is 29681612557. The reversal of 29681612541 is 14521618692.

29681612541 is a `hidden beast` number, since 2 + 96 + 8 + 1 + 6 + 12 + 541 = 666.

It is not a de Polignac number, because 29681612541 - 218 = 29681350397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29681612141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2416666 + ... + 2428916.

Almost surely, 229681612541 is an apocalyptic number.

29681612541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29681612541 is a deficient number, since it is larger than the sum of its proper divisors (21007753923).

29681612541 is a wasteful number, since it uses less digits than its factorization.

29681612541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16543 (or 16534 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 29681612541 in words is "twenty-nine billion, six hundred eighty-one million, six hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4273 12251 12819 29911 36753 38457 85757 89733 110259 115371 257271 269199 330777 346113 771813 807597 992331 2315439 2422791 6946317 52348523 157045569 366439661 471136707 1099318983 1413410121 3297956949 4240230363 9893870847 29681612541