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1968459222420 = 2232510935884569
BaseRepresentation
bin11100101001010001010…
…100000000110110010100
320222011221022022100002200
4130221101110000312110
5224222401030104140
64104144144404500
7262134153214215
oct34512124006624
96864838270080
101968459222420
11699900a05859
12279601016730
13113817c00582
146b3b996940c
153630dea2030
hex1ca51500d94

1968459222420 has 36 divisors (see below), whose sum is σ = 5970992975220. Its totient is φ = 524922459264.

The previous prime is 1968459222407. The next prime is 1968459222421. The reversal of 1968459222420 is 242229548691.

1968459222420 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 4 + 592 + 2 + 2 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1358991714564 + 609467507856 = 1165758^2 + 780684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968459222421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5467942105 + ... + 5467942464.

Almost surely, 21968459222420 is an apocalyptic number.

1968459222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968459222420 is an abundant number, since it is smaller than the sum of its proper divisors (4002533752800).

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

1968459222420 is a wasteful number, since it uses less digits than its factorization.

1968459222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935884584 (or 10935884579 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1968459222420 in words is "one trillion, nine hundred sixty-eight billion, four hundred fifty-nine million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10935884569 21871769138 32807653707 43743538276 54679422845 65615307414 98422961121 109358845690 131230614828 164038268535 196845922242 218717691380 328076537070 393691844484 492114805605 656153074140 984229611210 1968459222420