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6457420401 = 3291095211307
BaseRepresentation
bin1100000001110010…
…00110101001110001
3121200000202221111120
412000321012221301
5101211044423101
62544432532453
7316010111355
oct60071065161
917600687446
106457420401
112814055583
1213026b1129
137bba93123
1445387d465
1527bd8eb36
hex180e46a71

6457420401 has 32 divisors (see below), whose sum is σ = 9012643200. Its totient is φ = 4107317760.

The previous prime is 6457420367. The next prime is 6457420423. The reversal of 6457420401 is 1040247546.

6457420401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6457420401 - 29 = 6457419889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6457420481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4939990 + ... + 4941296.

It is an arithmetic number, because the mean of its divisors is an integer number (281645100).

Almost surely, 26457420401 is an apocalyptic number.

It is an amenable number.

6457420401 is a deficient number, since it is larger than the sum of its proper divisors (2555222799).

6457420401 is a wasteful number, since it uses less digits than its factorization.

6457420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 6457420401 is about 80358.0761404851. The cubic root of 6457420401 is about 1862.1715494624.

Adding to 6457420401 its reverse (1040247546), we get a palindrome (7497667947).

The spelling of 6457420401 in words is "six billion, four hundred fifty-seven million, four hundred twenty thousand, four hundred one".

Divisors: 1 3 29 87 109 327 521 1307 1563 3161 3921 9483 15109 37903 45327 56789 113709 142463 170367 427389 680947 1646881 2042841 4131427 4940643 12394281 19747463 59242389 74223223 222669669 2152473467 6457420401