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2051327811384 = 233253642183719
BaseRepresentation
bin11101110110011100101…
…010100101111100111000
321021002211120011211101100
4131312130222211330320
5232102104404431014
64210211134051400
7301126546463025
oct35663452457470
97232746154340
102051327811384
11720a66087215
12291689649b60
1311b593428ab7
14713db6a054c
153855e208009
hex1dd9caa5f38

2051327811384 has 96 divisors (see below), whose sum is σ = 5661452815200. Its totient is φ = 670762010880.

The previous prime is 2051327811383. The next prime is 2051327811457. The reversal of 2051327811384 is 4831187231502.

2051327811384 is a `hidden beast` number, since 2 + 0 + 513 + 27 + 81 + 1 + 38 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051327811383) 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, 24460677 + ... + 24544395.

It is an arithmetic number, because the mean of its divisors is an integer number (58973466825).

Almost surely, 22051327811384 is an apocalyptic number.

2051327811384 is a gapful number since it is divisible by the number (24) 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 2051327811384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830726407600).

2051327811384 is an abundant number, since it is smaller than the sum of its proper divisors (3610125003816).

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

2051327811384 is a wasteful number, since it uses less digits than its factorization.

2051327811384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90205 (or 90198 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2051327811384 in words is "two trillion, fifty-one billion, three hundred twenty-seven million, eight hundred eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 6421 12842 19263 25684 38526 51368 57789 77052 83719 115578 154104 167438 231156 251157 334876 340313 462312 502314 669752 680626 753471 1004628 1020939 1361252 1506942 2009256 2041878 2722504 3013884 3062817 4083756 4437107 6027768 6125634 8167512 8874214 12251268 13311321 17748428 24502536 26622642 35496856 39933963 53245284 79867926 106490568 159735852 319471704 537559699 1075119398 1612679097 2150238796 3225358194 4300477592 4838037291 6450716388 9676074582 12901432776 19352149164 28490664047 38704298328 56981328094 85471992141 113962656188 170943984282 227925312376 256415976423 341887968564 512831952846 683775937128 1025663905692 2051327811384