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29093783761 = 74594
BaseRepresentation
bin11011000110000111…
…111110100011010001
32210002121002100101201
4123012013332203101
5434041002040021
621210540431201
72046654040000
oct330607764321
983077070351
1029093783761
111137a756399
12577b548501
132988703183
14159dd50c37
15b542c0591
hex6c61fe8d1

29093783761 has 25 divisors (see below), whose sum is σ = 34525913081. Its totient is φ = 24514858956.

The previous prime is 29093783753. The next prime is 29093783821. The reversal of 29093783761 is 16738739092.

It is a happy number.

The square root of 29093783761 is 170569.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is not a de Polignac number, because 29093783761 - 23 = 29093783753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29093783701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 493114950 + ... + 493115008.

Almost surely, 229093783761 is an apocalyptic number.

29093783761 is the 170569-th square number.

29093783761 is the 85285-th centered octagonal number.

It is an amenable number.

29093783761 is a deficient number, since it is larger than the sum of its proper divisors (5432129320).

29093783761 is an frugal number, since it uses more digits than its factorization.

29093783761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 29093783761 in words is "twenty-nine billion, ninety-three million, seven hundred eighty-three thousand, seven hundred sixty-one".

Divisors: 1 7 49 59 343 413 2401 2891 3481 20237 24367 141659 170569 205379 1193983 1437653 8357881 10063571 12117361 70444997 84821527 493114979 593750689 4156254823 29093783761