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18769944064 = 29475314717
BaseRepresentation
bin10001011110110001…
…101001111000000000
31210110002221221201111
4101132301221320000
5301420101202224
612342305013104
71233064614664
oct213661517000
953402857644
1018769944064
117a62164873
12377a024194
131a018bbba1
14ca0bb08a4
1574cc94d94
hex45ec69e00

18769944064 has 80 divisors (see below), whose sum is σ = 39026484288. Its totient is φ = 9011372032.

The previous prime is 18769944059. The next prime is 18769944097. The reversal of 18769944064 is 46044996781.

It is a congruent number.

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, 1268034 + ... + 1282750.

Almost surely, 218769944064 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 18769944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513242144).

18769944064 is an abundant number, since it is smaller than the sum of its proper divisors (20256540224).

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

18769944064 is an equidigital number, since it uses as much as digits as its factorization.

18769944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14835 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 18769944064 in words is "eighteen billion, seven hundred sixty-nine million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 256 376 424 512 752 848 1504 1696 2491 3008 3392 4982 6016 6784 9964 12032 13568 14717 19928 24064 27136 29434 39856 58868 79712 117736 159424 235472 318848 470944 637696 691699 780001 941888 1275392 1383398 1560002 1883776 2766796 3120004 3767552 5533592 6240008 7535104 11067184 12480016 22134368 24960032 36660047 44268736 49920064 73320094 88537472 99840128 146640188 177074944 199680256 293280376 354149888 399360512 586560752 1173121504 2346243008 4692486016 9384972032 18769944064