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1994802256512 = 27351321919973
BaseRepresentation
bin11101000001110011011…
…110101101101010000000
321001200221012101010100000
4131001303132231222000
5230140323334202022
64124222143200000
7264056026261662
oct35016336555200
97050835333300
101994802256512
116a9a9996220a
122827332a6000
1311615575b600
146c798436532
1536d51a156ac
hex1d0737ada80

1994802256512 has 576 divisors, whose sum is σ = 6785591248800. Its totient is φ = 581451706368.

The previous prime is 1994802256507. The next prime is 1994802256523. The reversal of 1994802256512 is 2156522084991.

1994802256512 is a `hidden beast` number, since 1 + 9 + 9 + 48 + 0 + 22 + 565 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×19948022565123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99864958 + ... + 99884930.

Almost surely, 21994802256512 is an apocalyptic number.

1994802256512 is a gapful number since it is divisible by the number (12) 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 1994802256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392795624400).

1994802256512 is an abundant number, since it is smaller than the sum of its proper divisors (4790788992288).

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

1994802256512 is a wasteful number, since it uses less digits than its factorization.

1994802256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1994802256512 in words is "one trillion, nine hundred ninety-four billion, eight hundred two million, two hundred fifty-six thousand, five hundred twelve".