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1297735668 = 223510113219
BaseRepresentation
bin100110101011001…
…1101111111110100
310100102220210200000
41031112131333310
510124210020133
6332434551300
744105366625
oct11526357764
93312823600
101297735668
116065a1019
12302738530
13178b24438
14c44d1a4c
1578de4413
hex4d59dff4

1297735668 has 72 divisors (see below), whose sum is σ = 3435825120. Its totient is φ = 428263200.

The previous prime is 1297735661. The next prime is 1297735679. The reversal of 1297735668 is 8665377921.

1297735668 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 73 + 566 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297735661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91563 + ... + 104781.

Almost surely, 21297735668 is an apocalyptic number.

1297735668 is a gapful number since it is divisible by the number (18) 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 1297735668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717912560).

1297735668 is an abundant number, since it is smaller than the sum of its proper divisors (2138089452).

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

1297735668 is a wasteful number, since it uses less digits than its factorization.

1297735668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13325 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 1297735668 is about 36024.0984342426. The cubic root of 1297735668 is about 1090.7588543336.

The spelling of 1297735668 in words is "one billion, two hundred ninety-seven million, seven hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 606 909 972 1212 1818 2727 3636 5454 8181 10908 13219 16362 24543 26438 32724 39657 49086 52876 79314 98172 118971 158628 237942 356913 475884 713826 1070739 1335119 1427652 2141478 2670238 3212217 4005357 4282956 5340476 6424434 8010714 12016071 12848868 16021428 24032142 36048213 48064284 72096426 108144639 144192852 216289278 324433917 432578556 648867834 1297735668