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5738163840 = 27325996209
BaseRepresentation
bin1010101100000010…
…10110111010000000
3112210220100220222200
411112001112322000
543222432220330
62345220433200
7262124405433
oct52601267200
915726326880
105738163840
112485053472
121141848800
13705a70b26
143c613181a
15238b66a60
hex156056e80

5738163840 has 96 divisors (see below), whose sum is σ = 19814616900. Its totient is φ = 1530175488.

The previous prime is 5738163811. The next prime is 5738163841. The reversal of 5738163840 is 483618375.

5738163840 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 1 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4934781504 + 803382336 = 70248^2 + 28344^2 .

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

It is a super-3 number, since 3×57381638403 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5738163841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 492345 + ... + 503864.

Almost surely, 25738163840 is an apocalyptic number.

It is an amenable number.

5738163840 is an abundant number, since it is smaller than the sum of its proper divisors (14076453060).

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

5738163840 is a wasteful number, since it uses less digits than its factorization.

5738163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996234 (or 996219 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5738163840 is about 75750.6689079377. The cubic root of 5738163840 is about 1790.2938294011.

The spelling of 5738163840 in words is "five billion, seven hundred thirty-eight million, one hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 996209 1992418 2988627 3984836 4981045 5977254 7969672 8965881 9962090 11954508 14943135 15939344 17931762 19924180 23909016 29886270 31878688 35863524 39848360 44829405 47818032 59772540 63757376 71727048 79696720 89658810 95636064 119545080 127514752 143454096 159393440 179317620 191272128 239090160 286908192 318786880 358635240 382544256 478180320 573816384 637573760 717270480 956360640 1147632768 1434540960 1912721280 2869081920 5738163840