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1994996424960 = 2833571121719211
BaseRepresentation
bin11101000001111111000…
…011011010000100000000
321001201102201201220101000
4131001333003122010000
5230141223041044320
64124253321012000
7264063604550520
oct35017703320400
97051381656330
101994996424960
116aa089521900
12282788324000
13116186a53496
146c7b613b680
1536d63abbc90
hex1d07f0da100

1994996424960 has 3456 divisors, whose sum is σ = 9958917427200. Its totient is φ = 367873228800.

The previous prime is 1994996424929. The next prime is 1994996424983. The reversal of 1994996424960 is 694246994991.

1994996424960 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 9 + 96 + 42 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×19949964249602 (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 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 383 ways as a sum of consecutive naturals, for example, 9454959255 + ... + 9454959465.

It is an arithmetic number, because the mean of its divisors is an integer number (2881631200).

Almost surely, 21994996424960 is an apocalyptic number.

1994996424960 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 1994996424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979458713600).

1994996424960 is an abundant number, since it is smaller than the sum of its proper divisors (7963921002240).

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

1994996424960 is a wasteful number, since it uses less digits than its factorization.

1994996424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 1994996424960 in words is "one trillion, nine hundred ninety-four billion, nine hundred ninety-six million, four hundred twenty-four thousand, nine hundred sixty".