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2682926064 = 24357137583
BaseRepresentation
bin1001111111101010…
…0011001111110000
320220222101202200000
42133322203033300
520443312113224
61122120230000
7123325331610
oct23772431760
96828352600
102682926064
111157495075
1262a60b300
13339ab9120
141b646aa40
1510a8110c9
hex9fea33f0

2682926064 has 240 divisors, whose sum is σ = 9584719872. Its totient is φ = 707491584.

The previous prime is 2682926053. The next prime is 2682926069. The reversal of 2682926064 is 4606292862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682926069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350017 + ... + 357599.

Almost surely, 22682926064 is an apocalyptic number.

2682926064 is a gapful number since it is divisible by the number (24) 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 2682926064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792359936).

2682926064 is an abundant number, since it is smaller than the sum of its proper divisors (6901793808).

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

2682926064 is a wasteful number, since it uses less digits than its factorization.

2682926064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2682926064 is about 51796.9696410900. The cubic root of 2682926064 is about 1389.5352489359.

The spelling of 2682926064 in words is "two billion, six hundred eighty-two million, nine hundred twenty-six thousand, sixty-four".