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2061386046720 = 283357112135417
BaseRepresentation
bin11101111111110100001…
…011101101110100000000
321022001210112112010101000
4131333310023231310000
5232233204311443340
64214553201012000
7301634032202220
oct35776413556400
97261715463330
102061386046720
11725257757300
12293616024000
1311c5071c5c40
1471ab3462080
153894c26ad30
hex1dff42edd00

2061386046720 has 1728 divisors, whose sum is σ = 9897848593920. Its totient is φ = 395317739520.

The previous prime is 2061386046581. The next prime is 2061386046773. The reversal of 2061386046720 is 276406831602.

2061386046720 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 38 + 604 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×20613860467202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 380537452 + ... + 380542868.

It is an arithmetic number, because the mean of its divisors is an integer number (5727921640).

Almost surely, 22061386046720 is an apocalyptic number.

2061386046720 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 2061386046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948924296960).

2061386046720 is an abundant number, since it is smaller than the sum of its proper divisors (7836462547200).

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

2061386046720 is a wasteful number, since it uses less digits than its factorization.

2061386046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2061386046720 in words is "two trillion, sixty-one billion, three hundred eighty-six million, forty-six thousand, seven hundred twenty".