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2384194804992 = 28337111332039
BaseRepresentation
bin100010101100011101000…
…101011001110100000000
322102221000122011010101000
4202230131011121310000
5303030312332224432
65023141201012000
7334152366315240
oct42543505316400
98387018133330
102384194804992
1183a1498a2250
123260a6024000
13143aa05a5000
148357790db20
154204206057c
hex22b1d159d00

2384194804992 has 1152 divisors, whose sum is σ = 9527067648000. Its totient is φ = 571354767360.

The previous prime is 2384194804951. The next prime is 2384194805011. The reversal of 2384194804992 is 2994084914832.

2384194804992 is a `hidden beast` number, since 2 + 384 + 1 + 94 + 80 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1169295109 + ... + 1169297147.

It is an arithmetic number, because the mean of its divisors is an integer number (8270024000).

Almost surely, 22384194804992 is an apocalyptic number.

2384194804992 is a gapful number since it is divisible by the number (22) 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 2384194804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763533824000).

2384194804992 is an abundant number, since it is smaller than the sum of its proper divisors (7142872843008).

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

2384194804992 is a wasteful number, since it uses less digits than its factorization.

2384194804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 2384194804992 in words is "two trillion, three hundred eighty-four billion, one hundred ninety-four million, eight hundred four thousand, nine hundred ninety-two".