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1919981833056 = 253271985358763
BaseRepresentation
bin11011111100000111110…
…101011100101101100000
320210112210211112210121100
4123330013311130231200
5222424110322124211
64030005533554400
7255466640210430
oct33740765345540
96715724483540
101919981833056
11680294766701
12270132045a00
1310c09073b5b1
1468cdb5462c0
1534e23121156
hex1bf07d5cb60

1919981833056 has 288 divisors, whose sum is σ = 6576171114240. Its totient is φ = 519076242432.

The previous prime is 1919981833001. The next prime is 1919981833067. The reversal of 1919981833056 is 6503381899191.

1919981833056 is a `hidden beast` number, since 1 + 91 + 99 + 81 + 8 + 330 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1919981832984 and 1919981833002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32643931 + ... + 32702693.

It is an arithmetic number, because the mean of its divisors is an integer number (22833927480).

Almost surely, 21919981833056 is an apocalyptic number.

1919981833056 is a gapful number since it is divisible by the number (16) 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 1919981833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288085557120).

1919981833056 is an abundant number, since it is smaller than the sum of its proper divisors (4656189281184).

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

1919981833056 is a wasteful number, since it uses less digits than its factorization.

1919981833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59658 (or 59647 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 1919981833056 in words is "one trillion, nine hundred nineteen billion, nine hundred eighty-one million, eight hundred thirty-three thousand, fifty-six".