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18106025344 = 271116217933
BaseRepresentation
bin10000110111001101…
…000000010110000000
31201201211200101110021
4100313031000112000
5244040120302334
612152350543224
71210453450621
oct206715002600
951654611407
1018106025344
117751419910
123613807b14
1319271a3784
14c3a949a48
1570e84d3b4
hex437340580

18106025344 has 64 divisors (see below), whose sum is σ = 39378980880. Its totient is φ = 8223897600.

The previous prime is 18106025317. The next prime is 18106025347. The reversal of 18106025344 is 44352060181.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18106025347) 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, 2278402 + ... + 2286334.

Almost surely, 218106025344 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 18106025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689490440).

18106025344 is an abundant number, since it is smaller than the sum of its proper divisors (21272955536).

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

18106025344 is a wasteful number, since it uses less digits than its factorization.

18106025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 18106025344 in words is "eighteen billion, one hundred six million, twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1621 3242 6484 7933 12968 15866 17831 25936 31732 35662 51872 63464 71324 87263 103744 126928 142648 174526 207488 253856 285296 349052 507712 570592 698104 1015424 1141184 1396208 2282368 2792416 5584832 11169664 12859393 25718786 51437572 102875144 141453323 205750288 282906646 411500576 565813292 823001152 1131626584 1646002304 2263253168 4526506336 9053012672 18106025344