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1068544512 = 29327157211
BaseRepresentation
bin111111101100001…
…011001000000000
32202110122200111200
4333230023020000
54142021411022
6254010341200
735323323060
oct7754131000
92673580450
101068544512
114a9190342
12259a2a800
131404b9379
14a1cb13a0
1563c20bac
hex3fb0b200

1068544512 has 240 divisors, whose sum is σ = 3563706432. Its totient is φ = 301916160.

The previous prime is 1068544459. The next prime is 1068544523. The reversal of 1068544512 is 2154458601.

It is a happy number.

1068544512 is a `hidden beast` number, since 1 + 0 + 68 + 544 + 51 + 2 = 666.

It is a super-2 number, since 2×10685445122 = 2283574748250636288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5064087 + ... + 5064297.

Almost surely, 21068544512 is an apocalyptic number.

1068544512 is a gapful number since it is divisible by the number (12) 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 1068544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781853216).

1068544512 is an abundant number, since it is smaller than the sum of its proper divisors (2495161920).

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

1068544512 is a wasteful number, since it uses less digits than its factorization.

1068544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1068544512 is about 32688.5991134524. The cubic root of 1068544512 is about 1022.3451460942.

The spelling of 1068544512 in words is "one billion, sixty-eight million, five hundred forty-four thousand, five hundred twelve".