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4471005312 = 273223316657
BaseRepresentation
bin1000010100111111…
…00010000010000000
3102112120222121021100
410022133202002000
533124034132222
62015353054400
7215536626624
oct41237420200
912476877240
104471005312
111994847514
12a493b7400
13563394297
14305b1d184
151b27b24ac
hex10a7e2080

4471005312 has 96 divisors (see below), whose sum is σ = 12921777180. Its totient is φ = 1483849728.

The previous prime is 4471005293. The next prime is 4471005317. The reversal of 4471005312 is 2135001744.

It can be written as a sum of positive squares in 2 ways, for example, as 4289726016 + 181279296 = 65496^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4471005317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260088 + ... + 276744.

Almost surely, 24471005312 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 4471005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460888590).

4471005312 is an abundant number, since it is smaller than the sum of its proper divisors (8450771868).

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

4471005312 is a wasteful number, since it uses less digits than its factorization.

4471005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4471005312 is about 66865.5764351135. The cubic root of 4471005312 is about 1647.4101165921.

The spelling of 4471005312 in words is "four billion, four hundred seventy-one million, five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 288 384 466 576 699 932 1152 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 14912 16657 16776 22368 29824 33314 33552 44736 49971 66628 67104 89472 99942 133256 134208 149913 199884 266512 268416 299826 399768 533024 599652 799536 1066048 1199304 1599072 2132096 2398608 3198144 3881081 4797216 6396288 7762162 9594432 11643243 15524324 19188864 23286486 31048648 34929729 46572972 62097296 69859458 93145944 124194592 139718916 186291888 248389184 279437832 372583776 496778368 558875664 745167552 1117751328 1490335104 2235502656 4471005312