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1999886284800 = 211335223312029
BaseRepresentation
bin11101000110100010100…
…000101111100000000000
321002012001111212112001000
4131012202200233200000
5230231231342103200
64130422435412000
7264326021640615
oct35064240574000
97065044775030
101999886284800
11701168741988
12283711a54000
13116785b2ac81
146cb1b72c50c
153704d019300
hex1d1a282f800

1999886284800 has 1152 divisors, whose sum is σ = 7916493312000. Its totient is φ = 493417267200.

The previous prime is 1999886284741. The next prime is 1999886284801. The reversal of 1999886284800 is 84826889991.

It is a happy number.

1999886284800 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 88 + 62 + 8 + 480 + 0 = 666.

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

It is a super-2 number, since 2×19998862848002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1999886284801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985650186 + ... + 985652214.

It is an arithmetic number, because the mean of its divisors is an integer number (6871956000).

Almost surely, 21999886284800 is an apocalyptic number.

1999886284800 is a gapful number since it is divisible by the number (10) 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 1999886284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958246656000).

1999886284800 is an abundant number, since it is smaller than the sum of its proper divisors (5916607027200).

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

1999886284800 is a wasteful number, since it uses less digits than its factorization.

1999886284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 1999886284800 in words is "one trillion, nine hundred ninety-nine billion, eight hundred eighty-six million, two hundred eighty-four thousand, eight hundred".