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8463094016 = 28138928573
BaseRepresentation
bin1111110000111000…
…01001000100000000
3210211210210201110112
413320130021010000
5114313023002031
63515441250452
7416503053326
oct77034110400
923753721415
108463094016
113653217883
121782333a28
13a4b475a50
145a3db3d16
15347ec362b
hex1f8709100

8463094016 has 72 divisors (see below), whose sum is σ = 18397655640. Its totient is φ = 3862020096.

The previous prime is 8463094009. The next prime is 8463094021. The reversal of 8463094016 is 6104903648.

It can be written as a sum of positive squares in 4 ways, for example, as 942735616 + 7520358400 = 30704^2 + 86720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281906 + ... + 310478.

It is an arithmetic number, because the mean of its divisors is an integer number (255522995).

Almost surely, 28463094016 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 8463094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198827820).

8463094016 is an abundant number, since it is smaller than the sum of its proper divisors (9934561624).

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

8463094016 is a wasteful number, since it uses less digits than its factorization.

8463094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28691 (or 28677 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 8463094016 is about 91995.0760421448. The cubic root of 8463094016 is about 2037.8695893514.

The spelling of 8463094016 in words is "eight billion, four hundred sixty-three million, ninety-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 712 832 1157 1424 1664 2314 2848 3328 4628 5696 9256 11392 18512 22784 28573 37024 57146 74048 114292 148096 228584 296192 371449 457168 742898 914336 1485796 1828672 2542997 2971592 3657344 5085994 5943184 7314688 10171988 11886368 20343976 23772736 33058961 40687952 47545472 66117922 81375904 95090944 132235844 162751808 264471688 325503616 528943376 651007232 1057886752 2115773504 4231547008 8463094016