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1994182128 = 243219737019
BaseRepresentation
bin111011011011100…
…1100110111110000
312010222101221121100
41312313030313300
513041002312003
6525514124400
7100263161031
oct16667146760
95128357540
101994182128
11933733604
12477a20700
1325a1bb233
1414cbc2a88
15ba113ba3
hex76dccdf0

1994182128 has 60 divisors (see below), whose sum is σ = 5584564440. Its totient is φ = 664295808.

The previous prime is 1994182121. The next prime is 1994182193. The reversal of 1994182128 is 8212814991.

1994182128 is a `hidden beast` number, since 19 + 9 + 418 + 212 + 8 = 666.

It is a super-3 number, since 3×19941821283 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994182121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280603 + ... + 287621.

It is an arithmetic number, because the mean of its divisors is an integer number (93076074).

Almost surely, 21994182128 is an apocalyptic number.

1994182128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1994182128 is an abundant number, since it is smaller than the sum of its proper divisors (3590382312).

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

1994182128 is a wasteful number, since it uses less digits than its factorization.

1994182128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8997 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1994182128 is about 44656.2663911796. The cubic root of 1994182128 is about 1258.6981868174.

The spelling of 1994182128 in words is "one billion, nine hundred ninety-four million, one hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1973 3946 5919 7019 7892 11838 14038 15784 17757 21057 23676 28076 31568 35514 42114 47352 56152 63171 71028 84228 94704 112304 126342 142056 168456 252684 284112 336912 505368 1010736 13848487 27696974 41545461 55393948 83090922 110787896 124636383 166181844 221575792 249272766 332363688 498545532 664727376 997091064 1994182128