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2040590670696 = 23351923789883
BaseRepresentation
bin11101101100011100101…
…011101001101101101000
321020002010021100120100000
4131230130223221231220
5231413112202430241
64201233455543000
7300266511340614
oct35543453515550
97202107316300
102040590670696
11717456265526
1228b59182aa60
1311a571ac7006
1470a9d696344
153813178ceb6
hex1db1cae9b68

2040590670696 has 576 divisors, whose sum is σ = 6289208452800. Its totient is φ = 619234108416.

The previous prime is 2040590670673. The next prime is 2040590670719. The reversal of 2040590670696 is 6960760950402.

2040590670696 is a `hidden beast` number, since 2 + 0 + 40 + 590 + 6 + 7 + 0 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2040590670673) and next prime (2040590670719).

It is a super-2 number, since 2×20405906706962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 2310974271 + ... + 2310975153.

It is an arithmetic number, because the mean of its divisors is an integer number (10918764675).

Almost surely, 22040590670696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040590670696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144604226400).

2040590670696 is an abundant number, since it is smaller than the sum of its proper divisors (4248617782104).

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

2040590670696 is a wasteful number, since it uses less digits than its factorization.

2040590670696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2040590670696 in words is "two trillion, forty billion, five hundred ninety million, six hundred seventy thousand, six hundred ninety-six".