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1996987357440 = 28335192325749
BaseRepresentation
bin11101000011110101101…
…110001101100100000000
321001220120111000202022000
4131003311232031210000
5230204312230414230
64125223041344000
7264164131315425
oct35036556154400
97056514022260
101996987357440
116aaa10335949
12283043038000
1311641337453a
146c924715d4c
1536e2d78cb60
hex1d0f5b8d900

1996987357440 has 864 divisors, whose sum is σ = 7799290800000. Its totient is φ = 482483257344.

The previous prime is 1996987357439. The next prime is 1996987357441. The reversal of 1996987357440 is 447537896991.

1996987357440 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 8 + 7 + 3 + 574 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1996987357439) and next prime (1996987357441).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (1996987357441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347359686 + ... + 347365434.

Almost surely, 21996987357440 is an apocalyptic number.

1996987357440 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 1996987357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899645400000).

1996987357440 is an abundant number, since it is smaller than the sum of its proper divisors (5802303442560).

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

1996987357440 is a wasteful number, since it uses less digits than its factorization.

1996987357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 1996987357440 in words is "one trillion, nine hundred ninety-six billion, nine hundred eighty-seven million, three hundred fifty-seven thousand, four hundred forty".