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2695324968 = 23327243109163
BaseRepresentation
bin1010000010100111…
…0110010100101000
320221211201200202200
42200221312110220
521010000344333
61123242100200
7123535612200
oct24051662450
96854650680
102695324968
1111634935a6
126327aa660
1333c53a85b
141b7d77400
1510b95ec13
hexa0a76528

2695324968 has 288 divisors, whose sum is σ = 8822642400. Its totient is φ = 740710656.

The previous prime is 2695324963. The next prime is 2695324979. The reversal of 2695324968 is 8694235962.

It is a happy number.

2695324968 is a `hidden beast` number, since 2 + 6 + 9 + 532 + 49 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (2695324963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16535655 + ... + 16535817.

It is an arithmetic number, because the mean of its divisors is an integer number (30634175).

Almost surely, 22695324968 is an apocalyptic number.

2695324968 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 2695324968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411321200).

2695324968 is an abundant number, since it is smaller than the sum of its proper divisors (6127317432).

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

2695324968 is a wasteful number, since it uses less digits than its factorization.

2695324968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2695324968 is about 51916.5192207644. The cubic root of 2695324968 is about 1391.6724977648.

The spelling of 2695324968 in words is "two billion, six hundred ninety-five million, three hundred twenty-four thousand, nine hundred sixty-eight".