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57429731225 = 5231475926723
BaseRepresentation
bin110101011111000101…
…000010011110011001
312111020101011121211102
4311133011002132121
51420104002344400
642214410241145
74102106442506
oct653705023631
9174211147742
1057429731225
11223a064a099
12b1691261b5
1355530c6aa9
142acb3904ad
151761c969d5
hexd5f142799

57429731225 has 48 divisors (see below), whose sum is σ = 76349399040. Its totient is φ = 42776577600.

The previous prime is 57429731209. The next prime is 57429731329. The reversal of 57429731225 is 52213792475.

It is not a de Polignac number, because 57429731225 - 24 = 57429731209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 57429731225.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2135714 + ... + 2162436.

It is an arithmetic number, because the mean of its divisors is an integer number (1590612480).

Almost surely, 257429731225 is an apocalyptic number.

It is an amenable number.

57429731225 is a deficient number, since it is larger than the sum of its proper divisors (18919667815).

57429731225 is a wasteful number, since it uses less digits than its factorization.

57429731225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26870 (or 26865 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The spelling of 57429731225 in words is "fifty-seven billion, four hundred twenty-nine million, seven hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 31 47 59 155 235 295 775 1175 1457 1475 1829 2773 7285 9145 13865 26723 36425 45725 69325 85963 133615 429815 668075 828413 1255981 1576657 2149075 4142065 6279905 7883285 20710325 31399525 38935411 39416425 48876367 74102879 194677055 244381835 370514395 973385275 1221909175 1852571975 2297189249 11485946245 57429731225