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8061356064 = 2533115117939
BaseRepresentation
bin1111000000111111…
…01000100000100000
3202210210212022121010
413200133220200200
5113002201343224
63411530500520
7403524252546
oct74037504040
922723768533
108061356064
113467475143
12168b894740
139b6176398
145668b9d96
15322ab9e29
hex1e07e8820

8061356064 has 96 divisors (see below), whose sum is σ = 21989560320. Its totient is φ = 2583072000.

The previous prime is 8061356029. The next prime is 8061356087. The reversal of 8061356064 is 4606531608.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 440407 + ... + 458345.

It is an arithmetic number, because the mean of its divisors is an integer number (229057920).

Almost surely, 28061356064 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 8061356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994780160).

8061356064 is an abundant number, since it is smaller than the sum of its proper divisors (13928204256).

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

8061356064 is a wasteful number, since it uses less digits than its factorization.

8061356064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 8061356064 is about 89785.0547919864. The cubic root of 8061356064 is about 2005.0999893336.

The spelling of 8061356064 in words is "eight billion, sixty-one million, three hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 151 186 248 302 372 453 496 604 744 906 992 1208 1488 1812 2416 2976 3624 4681 4832 7248 9362 14043 14496 17939 18724 28086 35878 37448 53817 56172 71756 74896 107634 112344 143512 149792 215268 224688 287024 430536 449376 556109 574048 861072 1112218 1668327 1722144 2224436 2708789 3336654 4448872 5417578 6673308 8126367 8897744 10835156 13346616 16252734 17795488 21670312 26693232 32505468 43340624 53386464 65010936 83972459 86681248 130021872 167944918 251917377 260043744 335889836 503834754 671779672 1007669508 1343559344 2015339016 2687118688 4030678032 8061356064