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8125986336 = 2531311515657
BaseRepresentation
bin1111001000101100…
…01011011000100000
3202222022110212122220
413210112023120200
5113120223030321
63422200031040
7405240513156
oct74426133040
922868425586
108125986336
11349a9a8896
1216a9462480
139c6684a50
145713013d6
153285d49c6
hex1e458b620

8125986336 has 96 divisors (see below), whose sum is σ = 22995560448. Its totient is φ = 2497689600.

The previous prime is 8125986331. The next prime is 8125986343. The reversal of 8125986336 is 6336895218.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8125986331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433620 + ... + 1439276.

It is an arithmetic number, because the mean of its divisors is an integer number (239537088).

Almost surely, 28125986336 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 8125986336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11497780224).

8125986336 is an abundant number, since it is smaller than the sum of its proper divisors (14869574112).

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

8125986336 is a wasteful number, since it uses less digits than its factorization.

8125986336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6826 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 8125986336 is about 90144.2529282927. The cubic root of 8125986336 is about 2010.4442254709. Note that the first 3 decimals are identical.

The spelling of 8125986336 in words is "eight billion, one hundred twenty-five million, nine hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1151 1248 2302 3453 4604 5657 6906 9208 11314 13812 14963 16971 18416 22628 27624 29926 33942 36832 44889 45256 55248 59852 67884 73541 89778 90512 110496 119704 135768 147082 179556 181024 220623 239408 271536 294164 359112 441246 478816 543072 588328 718224 882492 1176656 1436448 1764984 2353312 3529968 6511207 7059936 13022414 19533621 26044828 39067242 52089656 78134484 84645691 104179312 156268968 169291382 208358624 253937073 312537936 338582764 507874146 625075872 677165528 1015748292 1354331056 2031496584 2708662112 4062993168 8125986336