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1830808016757 = 321722952253561
BaseRepresentation
bin11010101001000100101…
…010010101011101110101
320111000122011021120110100
4122221010222111131311
5214443443323014012
63521021145344313
7246162062242626
oct32510452253565
96430564246410
101830808016757
1164649443a665
122569a5a98099
1310384bb39115
146487c26ba4d
153295458e8dc
hex1aa44a95775

1830808016757 has 24 divisors (see below), whose sum is σ = 2812286706840. Its totient is φ = 1143725921280.

The previous prime is 1830808016753. The next prime is 1830808016759. The reversal of 1830808016757 is 7576108080381.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 532937960676 + 1297870056081 = 730026^2 + 1139241^2 .

It is not a de Polignac number, because 1830808016757 - 22 = 1830808016753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830808016753) 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, 26091744 + ... + 26161817.

It is an arithmetic number, because the mean of its divisors is an integer number (117178612785).

Almost surely, 21830808016757 is an apocalyptic number.

1830808016757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1830808016757 is a deficient number, since it is larger than the sum of its proper divisors (981478690083).

1830808016757 is a wasteful number, since it uses less digits than its factorization.

1830808016757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52253813 (or 52253810 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1830808016757 in words is "one trillion, eight hundred thirty billion, eight hundred eight million, sixteen thousand, seven hundred fifty-seven".

Divisors: 1 3 9 17 51 153 229 687 2061 3893 11679 35037 52253561 156760683 470282049 888310537 2664931611 7994794833 11966065469 35898196407 107694589221 203423112973 610269338919 1830808016757