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18253611008 = 23017
BaseRepresentation
bin10001000000000000…
…000000000000000000
31202010010101111220222
4101000000000000000
5244340411023013
612215142122212
71214225063543
oct210000000000
952103344828
1018253611008
117817762136
123655120368
13194b938779
14c523a685a
1571c7a2508
hex440000000

18253611008 has 62 divisors (see below), whose sum is σ = 38654705646. Its totient is φ = 8589934592.

The previous prime is 18253611001. The next prime is 18253611071. The reversal of 18253611008 is 80011635281.

It can be written as a sum of positive squares in only one way, i.e., 17179869184 + 1073741824 = 131072^2 + 32768^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (18253611001) by changing a digit.

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

In principle, a polygon with 18253611008 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, 1073741816 + ... + 1073741832.

Almost surely, 218253611008 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 18253611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327352823).

18253611008 is an abundant number, since it is smaller than the sum of its proper divisors (20401094638).

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

18253611008 is an frugal number, since it uses more digits than its factorization.

18253611008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 18253611008 in words is "eighteen billion, two hundred fifty-three million, six hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8388608 8912896 16777216 17825792 33554432 35651584 67108864 71303168 134217728 142606336 268435456 285212672 536870912 570425344 1073741824 1140850688 2281701376 4563402752 9126805504 18253611008