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8590065664 = 21765537
BaseRepresentation
bin10000000000000001…
…00000000000000000
3211011122201112211011
420000000200000000
5120043024100124
63540214530304
7422604232135
oct100000400000
924148645734
108590065664
113708960524
1217b8966994
13a6b870cbb
145b6bc658c
15354204994
hex200020000

8590065664 has 36 divisors (see below), whose sum is σ = 17180327934. Its totient is φ = 4294967296.

The previous prime is 8590065629. The next prime is 8590065703. The reversal of 8590065664 is 4665600958.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4328587264 + 4261478400 = 65792^2 + 65280^2 .

It is a super-2 number, since 2×85900656642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 8590065664 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98304 + ... + 163840.

Almost surely, 28590065664 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 8590065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590163967).

8590065664 is an abundant number, since it is smaller than the sum of its proper divisors (8590262270).

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

8590065664 is an frugal number, since it uses more digits than its factorization.

8590065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65571 (or 65539 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 8590065664 is about 92682.6071277670. The cubic root of 8590065664 is about 2048.0104166137.

The spelling of 8590065664 in words is "eight billion, five hundred ninety million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131072 131074 262148 524296 1048592 2097184 4194368 8388736 16777472 33554944 67109888 134219776 268439552 536879104 1073758208 2147516416 4295032832 8590065664