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5186056896 = 263211937547
BaseRepresentation
bin1001101010001110…
…01111001011000000
3111101102110222122100
410311013033023000
541110112310041
62214335110400
7242341520256
oct46507171300
914342428570
105186056896
112221437339
121008972400
13648573627
14372a945d6
152054596b6
hex1351cf2c0

5186056896 has 84 divisors (see below), whose sum is σ = 14879327112. Its totient is φ = 1727007744.

The previous prime is 5186056891. The next prime is 5186056927. The reversal of 5186056896 is 6986506815.

It is a happy number.

5186056896 is a `hidden beast` number, since 5 + 18 + 60 + 568 + 9 + 6 = 666.

It is a super-2 number, since 2×51860568962 = 53790372257098309632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5186056891) 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, 683395 + ... + 690941.

Almost surely, 25186056896 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 5186056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439663556).

5186056896 is an abundant number, since it is smaller than the sum of its proper divisors (9693270216).

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

5186056896 is a wasteful number, since it uses less digits than its factorization.

5186056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5186056896 is about 72014.2825833876. The cubic root of 5186056896 is about 1730.9283551331.

The spelling of 5186056896 in words is "five billion, one hundred eighty-six million, fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1193 2386 3579 4772 7158 7547 9544 10737 14316 15094 19088 21474 22641 28632 30188 38176 42948 45282 57264 60376 67923 76352 85896 90564 114528 120752 135846 171792 181128 229056 241504 271692 343584 362256 483008 543384 687168 724512 1086768 1449024 2173536 4347072 9003571 18007142 27010713 36014284 54021426 72028568 81032139 108042852 144057136 162064278 216085704 288114272 324128556 432171408 576228544 648257112 864342816 1296514224 1728685632 2593028448 5186056896