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2068340653440 = 273253197119417
BaseRepresentation
bin11110000110010010101…
…101011011110110000000
321022201202012211202021200
4132012102231123312000
5232341430201402230
64222103234221200
7302301260321445
oct36062255336600
97281665752250
102068340653440
117281a6417266
12294a37124800
13120074c97549
1472172d639cc
1538c07aba160
hex1e192b5bd80

2068340653440 has 384 divisors, whose sum is σ = 7448702526720. Its totient is φ = 528258170880.

The previous prime is 2068340653439. The next prime is 2068340653441. The reversal of 2068340653440 is 443560438602.

2068340653440 is a `hidden beast` number, since 20 + 68 + 34 + 0 + 6 + 534 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2068340653439) and next prime (2068340653441).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068340653441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17260612 + ... + 17380028.

It is an arithmetic number, because the mean of its divisors is an integer number (19397662830).

Almost surely, 22068340653440 is an apocalyptic number.

2068340653440 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 2068340653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724351263360).

2068340653440 is an abundant number, since it is smaller than the sum of its proper divisors (5380361873280).

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

2068340653440 is a wasteful number, since it uses less digits than its factorization.

2068340653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119570 (or 119555 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2068340653440 in words is "two trillion, sixty-eight billion, three hundred forty million, six hundred fifty-three thousand, four hundred forty".