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5280659712 = 28326137573
BaseRepresentation
bin1001110101100000…
…00111100100000000
3111122000111022022100
410322300013210000
541303322102322
62231554510400
7244600603236
oct47260074400
914560438270
105280659712
11226a881889
121034595400
13662047623
1438147c956
1520d8e4dac
hex13ac07900

5280659712 has 108 divisors (see below), whose sum is σ = 15475453084. Its totient is φ = 1731317760.

The previous prime is 5280659711. The next prime is 5280659729. The reversal of 5280659712 is 2179560825.

5280659712 is a `hidden beast` number, since 52 + 8 + 0 + 6 + 597 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2627997696 + 2652662016 = 51264^2 + 51504^2 .

It is not an unprimeable number, because it can be changed into a prime (5280659711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121758 + ... + 159330.

Almost surely, 25280659712 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 5280659712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737726542).

5280659712 is an abundant number, since it is smaller than the sum of its proper divisors (10194793372).

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

5280659712 is a wasteful number, since it uses less digits than its factorization.

5280659712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37656 (or 37639 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5280659712 is about 72668.1478503477. The cubic root of 5280659712 is about 1741.3900584516.

The spelling of 5280659712 in words is "five billion, two hundred eighty million, six hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1098 1152 1464 1952 2196 2304 2928 3904 4392 5856 7808 8784 11712 15616 17568 23424 35136 37573 46848 70272 75146 112719 140544 150292 225438 300584 338157 450876 601168 676314 901752 1202336 1352628 1803504 2291953 2404672 2705256 3607008 4583906 4809344 5410512 6875859 7214016 9167812 9618688 10821024 13751718 14428032 18335624 20627577 21642048 27503436 28856064 36671248 41255154 43284096 55006872 73342496 82510308 86568192 110013744 146684992 165020616 220027488 293369984 330041232 440054976 586739968 660082464 880109952 1320164928 1760219904 2640329856 5280659712