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1068747264 = 29331319313
BaseRepresentation
bin111111101100111…
…100101000000000
32202111000222122000
4333230330220000
54142044403024
6254014544000
735325126144
oct7754745000
92674028560
101068747264
114a9309702
12259b08000
1314055a740
14a1d25224
1563c60cc9
hex3fb3ca00

1068747264 has 320 divisors, whose sum is σ = 3597686400. Its totient is φ = 310542336.

The previous prime is 1068747263. The next prime is 1068747293. The reversal of 1068747264 is 4627478601.

1068747264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10687472642 = 2284441428614971392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068747263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414372 + ... + 3414684.

It is an arithmetic number, because the mean of its divisors is an integer number (11242770).

Almost surely, 21068747264 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 1068747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798843200).

1068747264 is an abundant number, since it is smaller than the sum of its proper divisors (2528939136).

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

1068747264 is a wasteful number, since it uses less digits than its factorization.

1068747264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1068747264 is about 32691.7002310984. The cubic root of 1068747264 is about 1022.4098039572.

The spelling of 1068747264 in words is "one billion, sixty-eight million, seven hundred forty-seven thousand, two hundred sixty-four".