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2061932544000 = 214335372761
BaseRepresentation
bin11110000000010100110…
…000011100000000000000
321022010012121212001201000
4132000110300130000000
5232240314212402000
64215123322212000
7301653416304600
oct36002460340000
97263177761630
102061932544000
1172550819184a
12293749054000
1311c5934ab004
1471b25c7cc00
153898021b000
hex1e014c1c000

2061932544000 has 1440 divisors, whose sum is σ = 8880779718720. Its totient is φ = 470679552000.

The previous prime is 2061932543969. The next prime is 2061932544013. The reversal of 2061932544000 is 4452391602.

It is a happy number.

2061932544000 is a `hidden beast` number, since 2 + 0 + 6 + 193 + 25 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2709503620 + ... + 2709504380.

It is an arithmetic number, because the mean of its divisors is an integer number (6167208138).

Almost surely, 22061932544000 is an apocalyptic number.

2061932544000 is a gapful number since it is divisible by the number (20) 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 2061932544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440389859360).

2061932544000 is an abundant number, since it is smaller than the sum of its proper divisors (6818847174720).

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

2061932544000 is an frugal number, since it uses more digits than its factorization.

2061932544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2061932544000 in words is "two trillion, sixty-one billion, nine hundred thirty-two million, five hundred forty-four thousand".