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29537921957 = 1729159737517
BaseRepresentation
bin11011100000100110…
…001110101110100101
32211020112210220110112
4123200212032232211
5440443202000312
621323004102405
72063656123355
oct334046165645
984215726415
1029537921957
1111588428a55
125884234a05
132a29729a3b
141602d24b65
15b7d2a1d22
hex6e098eba5

29537921957 has 16 divisors (see below), whose sum is σ = 32375032560. Its totient is φ = 26824240128.

The previous prime is 29537921887. The next prime is 29537921981. The reversal of 29537921957 is 75912973592.

It is a happy number.

It is a Cunningham number, because it is equal to 1718662+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 29537921956 = 1^2 + 171866^2 .

It is a cyclic number.

It is not a de Polignac number, because 29537921957 - 210 = 29537920933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29537921896 and 29537921905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29537921857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768563 + ... + 806079.

It is an arithmetic number, because the mean of its divisors is an integer number (2023439535).

Almost surely, 229537921957 is an apocalyptic number.

It is an amenable number.

29537921957 is a deficient number, since it is larger than the sum of its proper divisors (2837110603).

29537921957 is a wasteful number, since it uses less digits than its factorization.

29537921957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39160.

The product of its digits is 10716300, while the sum is 59.

The spelling of 29537921957 in words is "twenty-nine billion, five hundred thirty-seven million, nine hundred twenty-one thousand, nine hundred fifty-seven".

Divisors: 1 17 29 493 1597 27149 37517 46313 637789 787321 1087993 18495881 59914649 1018549033 1737524821 29537921957