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4671411472 = 247213235257
BaseRepresentation
bin1000101100111000…
…00001010100010000
3110001120002021211201
410112130001110100
534031340131342
62051312320544
7223522225300
oct42634012420
913046067751
104671411472
111a87987642
12aa4543154
13595a61400
143245a9600
151c519bdb7
hex116701510

4671411472 has 90 divisors (see below), whose sum is σ = 11401062138. Its totient is φ = 1847978496.

The previous prime is 4671411461. The next prime is 4671411517. The reversal of 4671411472 is 2741141764.

It can be written as a sum of positive squares in 3 ways, for example, as 480661776 + 4190749696 = 21924^2 + 64736^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 114868 + ... + 150124.

Almost surely, 24671411472 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 4671411472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700531069).

4671411472 is an abundant number, since it is smaller than the sum of its proper divisors (6729650666).

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

4671411472 is a wasteful number, since it uses less digits than its factorization.

4671411472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35305 (or 35279 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 4671411472 is about 68347.7247024361. The cubic root of 4671411472 is about 1671.6654798817.

Adding to 4671411472 its product of digits (37632), we get a square (4671449104 = 683482).

The spelling of 4671411472 in words is "four billion, six hundred seventy-one million, four hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 16562 18928 33124 35257 66248 70514 132496 141028 246799 282056 458341 493598 564112 916682 987196 1727593 1833364 1974392 3208387 3455186 3666728 3948784 5958433 6416774 6910372 7333456 11916866 12833548 13820744 22458709 23833732 25667096 27641488 41709031 44917418 47667464 51334192 83418062 89834836 95334928 166836124 179669672 291963217 333672248 359339344 583926434 667344496 1167852868 2335705736 4671411472