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1297745064 = 233471131839
BaseRepresentation
bin100110101011010…
…0000010010101000
310100102221021120000
41031112200102220
510124210320224
6332435103000
744105436210
oct11526402250
93312837500
101297745064
116065a8090
12302741a60
13178b287b5
14c44d5240
1578de70c9
hex4d5a04a8

1297745064 has 320 divisors, whose sum is σ = 4683571200. Its totient is φ = 325814400.

The previous prime is 1297745051. The next prime is 1297745069. The reversal of 1297745064 is 4605477921.

1297745064 is a `hidden beast` number, since 129 + 77 + 450 + 6 + 4 = 666.

It is a super-2 number, since 2×12977450642 = 3368284502272728192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1297745069) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1546357 + ... + 1547195.

It is an arithmetic number, because the mean of its divisors is an integer number (14636160).

Almost surely, 21297745064 is an apocalyptic number.

1297745064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297745064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341785600).

1297745064 is an abundant number, since it is smaller than the sum of its proper divisors (3385826136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1297745064 is a wasteful number, since it uses less digits than its factorization.

1297745064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1297745064 is about 36024.2288467082. The cubic root of 1297745064 is about 1090.7614868022.

The spelling of 1297745064 in words is "one billion, two hundred ninety-seven million, seven hundred forty-five thousand, sixty-four".