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1067484816 = 24327413089
BaseRepresentation
bin111111101000001…
…000011010010000
32202101122211212200
4333220020122100
54141234003231
6253531523200
735311320426
oct7750103220
92671584780
101067484816
114a8627162
122595b9500
13140207c28
14a1ab7116
1563ab1be6
hex3fa08690

1067484816 has 30 divisors (see below), whose sum is σ = 2987475270. Its totient is φ = 355828224.

The previous prime is 1067484731. The next prime is 1067484823. The reversal of 1067484816 is 6184847601.

It can be written as a sum of positive squares in only one way, i.e., 691900416 + 375584400 = 26304^2 + 19380^2 .

It is a super-2 number, since 2×10674848162 = 2279047664781107712, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3706401 + ... + 3706688.

It is an arithmetic number, because the mean of its divisors is an integer number (99582509).

Almost surely, 21067484816 is an apocalyptic number.

1067484816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1067484816 is an abundant number, since it is smaller than the sum of its proper divisors (1919990454).

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

1067484816 is a wasteful number, since it uses less digits than its factorization.

1067484816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413103 (or 7413094 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1067484816 is about 32672.3861387564. The cubic root of 1067484816 is about 1022.0070745767.

The spelling of 1067484816 in words is "one billion, sixty-seven million, four hundred eighty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7413089 14826178 22239267 29652356 44478534 59304712 66717801 88957068 118609424 133435602 177914136 266871204 355828272 533742408 1067484816