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427748816968 = 231161124963799
BaseRepresentation
bin1100011100101111101…
…00001111100001001000
31111220002112212022210121
412032113310033201020
524002012144120333
6524301033353024
742622004645014
oct6162764174110
91456075768717
10427748816968
11155453068290
126aa98268774
133144b4c1075
14169bb649544
15b1d7a9532d
hex6397d0f848

427748816968 has 64 divisors (see below), whose sum is σ = 890010000000. Its totient is φ = 191087769600.

The previous prime is 427748816959. The next prime is 427748816983. The reversal of 427748816968 is 869618847724.

It is a junction number, because it is equal to n+sod(n) for n = 427748816897 and 427748816906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6672733 + ... + 6736531.

It is an arithmetic number, because the mean of its divisors is an integer number (13906406250).

Almost surely, 2427748816968 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 427748816968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445005000000).

427748816968 is an abundant number, since it is smaller than the sum of its proper divisors (462261183032).

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

427748816968 is a wasteful number, since it uses less digits than its factorization.

427748816968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65126 (or 65122 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 70.

The spelling of 427748816968 in words is "four hundred twenty-seven billion, seven hundred forty-eight million, eight hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1249 1342 2498 2684 4996 5368 9992 13739 27478 54956 63799 76189 109912 127598 152378 255196 304756 510392 609512 701789 838079 1403578 1676158 2807156 3352316 3891739 5614312 6704632 7783478 15566956 31133912 42809129 79684951 85618258 159369902 171236516 318739804 342473032 637479608 876534461 1753068922 3506137844 4860782011 7012275688 9721564022 19443128044 38886256088 53468602121 106937204242 213874408484 427748816968