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5012105856 = 27331141969
BaseRepresentation
bin1001010101011111…
…01010101010000000
3110221022011100200020
410222233222222000
540231044341411
62145202453440
7235130124342
oct45257525200
913838140606
105012105856
11214222634a
12b7a664280
1361b509b14
14357933292
151e5048606
hex12abeaa80

5012105856 has 64 divisors (see below), whose sum is σ = 13356532800. Its totient is φ = 1665290240.

The previous prime is 5012105851. The next prime is 5012105909. The reversal of 5012105856 is 6585012105.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×50121058562 = 50242410223498985472, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (5012105851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98440 + ... + 140408.

It is an arithmetic number, because the mean of its divisors is an integer number (208695825).

Almost surely, 25012105856 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 5012105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678266400).

5012105856 is an abundant number, since it is smaller than the sum of its proper divisors (8344426944).

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

5012105856 is a wasteful number, since it uses less digits than its factorization.

5012105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42297 (or 42285 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 5012105856 is about 70796.2276961139. The cubic root of 5012105856 is about 1711.3548825664.

The spelling of 5012105856 in words is "five billion, twelve million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 41969 59712 83938 119424 125907 167876 251814 335752 503628 671504 1007256 1343008 2014512 2686016 4029024 5372032 8058048 13052359 16116096 26104718 39157077 52209436 78314154 104418872 156628308 208837744 313256616 417675488 626513232 835350976 1253026464 1670701952 2506052928 5012105856