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18668355072 = 29343328069
BaseRepresentation
bin10001011000101110…
…000111111000000000
31210012000210200211020
4101120232013320000
5301213044330242
612324235345440
71230422254113
oct213056077000
953160720736
1018668355072
117a0a888524
12374bbb2280
1319b6840063
14c914c857a
15743dc96ec
hex458b87e00

18668355072 has 80 divisors (see below), whose sum is σ = 49850298960. Its totient is φ = 6208192512.

The previous prime is 18668355011. The next prime is 18668355073. The reversal of 18668355072 is 27055386681.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18668355073) 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, 651054 + ... + 679122.

It is an arithmetic number, because the mean of its divisors is an integer number (623128737).

Almost surely, 218668355072 is an apocalyptic number.

18668355072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18668355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24925149480).

18668355072 is an abundant number, since it is smaller than the sum of its proper divisors (31181943888).

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

18668355072 is an equidigital number, since it uses as much as digits as its factorization.

18668355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28523 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 18668355072 in words is "eighteen billion, six hundred sixty-eight million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 512 768 866 1299 1536 1732 2598 3464 5196 6928 10392 13856 20784 27712 28069 41568 55424 56138 83136 84207 110848 112276 166272 168414 221696 224552 332544 336828 449104 665088 673656 898208 1347312 1796416 2694624 3592832 5389248 7185664 10778496 12153877 14371328 21556992 24307754 36461631 43113984 48615508 72923262 97231016 145846524 194462032 291693048 388924064 583386096 777848128 1166772192 1555696256 2333544384 3111392512 4667088768 6222785024 9334177536 18668355072