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3418328125 = 56172757
BaseRepresentation
bin1100101110111111…
…1000110000111101
322211020012001122101
43023233320300331
524000043000000
61323110345101
7150465211132
oct31357706075
98736161571
103418328125
1114a4614573
127b495b191
13426272284
14245dbc589
15150177e6a
hexcbbf8c3d

3418328125 has 42 divisors (see below), whose sum is σ = 4544980886. Its totient is φ = 2570400000.

The previous prime is 3418328117. The next prime is 3418328153. The reversal of 3418328125 is 5218238143.

It can be written as a sum of positive squares in 21 ways, for example, as 2735080804 + 683247321 = 52298^2 + 26139^2 .

It is not a de Polignac number, because 3418328125 - 23 = 3418328117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4515247 + ... + 4516003.

Almost surely, 23418328125 is an apocalyptic number.

It is an amenable number.

3418328125 is a deficient number, since it is larger than the sum of its proper divisors (1126652761).

3418328125 is an frugal number, since it uses more digits than its factorization.

3418328125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 779 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 3418328125 is about 58466.4700918398. The cubic root of 3418328125 is about 1506.3917068518.

The spelling of 3418328125 in words is "three billion, four hundred eighteen million, three hundred twenty-eight thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 625 757 1445 2125 3125 3785 7225 10625 12869 15625 18925 36125 53125 64345 94625 180625 218773 265625 321725 473125 903125 1093865 1608625 2365625 4515625 5469325 8043125 11828125 27346625 40215625 136733125 201078125 683665625 3418328125