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842113006283484 = 2233133167407370901
BaseRepresentation
bin1011111101111001011011011…
…0100110011010101011011100
311002102200012212022120002121000
42333132112312212122223130
51340334134414102032414
612143005212512110300
7342243441222003105
oct27736266646325334
94072605768502530
10842113006283484
1122436113622a561
127a547185b35390
132a1b6bb9b98a90
1410bd46b63a13ac
156755459e34b09
hex2fde5b699aadc

842113006283484 has 384 divisors, whose sum is σ = 2463907892060160. Its totient is φ = 246946537728000.

The previous prime is 842113006283477. The next prime is 842113006283543. The reversal of 842113006283484 is 484382600311248.

842113006283484 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 1 + 3 + 0 + 0 + 628 + 3 + 4 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 842113006283484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11877272434 + ... + 11877343334.

It is an arithmetic number, because the mean of its divisors is an integer number (6416426802240).

Almost surely, 2842113006283484 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 842113006283484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231953946030080).

842113006283484 is an abundant number, since it is smaller than the sum of its proper divisors (1621794885776676).

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

842113006283484 is a wasteful number, since it uses less digits than its factorization.

842113006283484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75098 (or 75090 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 842113006283484 in words is "eight hundred forty-two trillion, one hundred thirteen billion, six million, two hundred eighty-three thousand, four hundred eighty-four".