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5186756016 = 2432132213131
BaseRepresentation
bin1001101010010011…
…11001110110110000
3111101110210111122200
410311021321312300
541110302143031
62214402103200
7242350461441
oct46511716660
914343714580
105186756016
112221874622
12100904ab00
13648759900
14372bd72c8
152055468e6
hex135279db0

5186756016 has 90 divisors (see below), whose sum is σ = 15718271868. Its totient is φ = 1595917440.

The previous prime is 5186755999. The next prime is 5186756033. The reversal of 5186756016 is 6106576815.

5186756016 is a `hidden beast` number, since 5 + 1 + 86 + 7 + 560 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5186755999) and next prime (5186756033).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82230 + ... + 130901.

Almost surely, 25186756016 is an apocalyptic number.

It is an amenable number.

5186756016 is an abundant number, since it is smaller than the sum of its proper divisors (10531515852).

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

5186756016 is a wasteful number, since it uses less digits than its factorization.

5186756016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213171 (or 213149 counting only the distinct ones).

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

The square root of 5186756016 is about 72019.1364569168. The cubic root of 5186756016 is about 1731.0061324169.

The spelling of 5186756016 in words is "five billion, one hundred eighty-six million, seven hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 213131 426262 639393 852524 1278786 1705048 1918179 2557572 2770703 3410096 3836358 5115144 5541406 7672716 8312109 10230288 11082812 15345432 16624218 22165624 24936327 30690864 33248436 36019139 44331248 49872654 66496872 72038278 99745308 108057417 132993744 144076556 199490616 216114834 288153112 324172251 398981232 432229668 576306224 648344502 864459336 1296689004 1728918672 2593378008 5186756016