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2640817368 = 233273611753
BaseRepresentation
bin1001110101100111…
…1010110011011000
320211001011102101200
42131121322303120
520402022123433
61114013514200
7122304402000
oct23531726330
96731142350
102640817368
1111357441a2
126184a2960
13331164837
141b0a29000
15106c94613
hex9d67acd8

2640817368 has 192 divisors, whose sum is σ = 8482344000. Its totient is φ = 741726720.

The previous prime is 2640817363. The next prime is 2640817369. The reversal of 2640817368 is 8637180462.

It is a super-2 number, since 2×26408173682 = 13947832742260894848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640817363) 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, 1505580 + ... + 1507332.

It is an arithmetic number, because the mean of its divisors is an integer number (44178875).

Almost surely, 22640817368 is an apocalyptic number.

2640817368 is a gapful number since it is divisible by the number (28) 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 2640817368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241172000).

2640817368 is an abundant number, since it is smaller than the sum of its proper divisors (5841526632).

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

2640817368 is a wasteful number, since it uses less digits than its factorization.

2640817368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2640817368 is about 51388.8837006604. The cubic root of 2640817368 is about 1382.2272666080.

The spelling of 2640817368 in words is "two billion, six hundred forty million, eight hundred seventeen thousand, three hundred sixty-eight".