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1996262978112 = 263513611571031
BaseRepresentation
bin11101000011001010100…
…010111011001001000000
321001211200222222110200000
4131003022202323021000
5230201321310244422
64125023123400000
7264140154225354
oct35031242731100
97054628873600
101996262978112
116aa679454a47
12282a80523000
1311632927a610
146c896433464
1536dd9da1cac
hex1d0ca8bb240

1996262978112 has 672 divisors, whose sum is σ = 6542769402624. Its totient is φ = 599734886400.

The previous prime is 1996262978111. The next prime is 1996262978147. The reversal of 1996262978112 is 2118792626991.

1996262978112 is a `hidden beast` number, since 199 + 6 + 262 + 9 + 78 + 112 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1996262978112.

It is not an unprimeable number, because it can be changed into a prime (1996262978111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1936239037 + ... + 1936240067.

It is an arithmetic number, because the mean of its divisors is an integer number (9736263992).

Almost surely, 21996262978112 is an apocalyptic number.

1996262978112 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 1996262978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271384701312).

1996262978112 is an abundant number, since it is smaller than the sum of its proper divisors (4546506424512).

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

1996262978112 is a wasteful number, since it uses less digits than its factorization.

1996262978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1267 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 1996262978112 in words is "one trillion, nine hundred ninety-six billion, two hundred sixty-two million, nine hundred seventy-eight thousand, one hundred twelve".