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1297833984 = 2133229607
BaseRepresentation
bin100110101011011…
…0110000000000000
310100110002210112100
41031112312000000
510124221141414
6332441030400
744106256356
oct11526660000
93313083470
101297833984
11606658977
12302785400
13178b5a105
14c45197d6
1578e13609
hex4d5b6000

1297833984 has 168 divisors, whose sum is σ = 3884736960. Its totient is φ = 417005568.

The previous prime is 1297833973. The next prime is 1297833989. The reversal of 1297833984 is 4893387921.

It is a self number, because there is not a number n which added to its sum of digits gives 1297833984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297833989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137809 + ... + 2138415.

Almost surely, 21297833984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942368480).

1297833984 is an abundant number, since it is smaller than the sum of its proper divisors (2586902976).

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

1297833984 is an equidigital number, since it uses as much as digits as its factorization.

1297833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1297833984 is about 36025.4629949429. The cubic root of 1297833984 is about 1090.7863988077.

The spelling of 1297833984 in words is "one billion, two hundred ninety-seven million, eight hundred thirty-three thousand, nine hundred eighty-four".