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19144690416 = 243367661439
BaseRepresentation
bin10001110101000111…
…001100101011110000
31211102020010001002000
4101311013030223300
5303202020043131
612443413054000
71245265116645
oct216507145360
954366101060
1019144690416
1181347512a5
123863627300
131a6142a9a7
14cd887ddcc
15770b1ace6
hex4751ccaf0

19144690416 has 80 divisors (see below), whose sum is σ = 55772620800. Its totient is φ = 6286306752.

The previous prime is 19144690399. The next prime is 19144690421. The reversal of 19144690416 is 61409644191.

19144690416 is a `hidden beast` number, since 1 + 9 + 144 + 6 + 90 + 416 = 666.

It is a super-2 number, since 2×191446904162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301776 + ... + 359663.

It is an arithmetic number, because the mean of its divisors is an integer number (697157760).

Almost surely, 219144690416 is an apocalyptic number.

19144690416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19144690416 is an abundant number, since it is smaller than the sum of its proper divisors (36627930384).

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

19144690416 is a wasteful number, since it uses less digits than its factorization.

19144690416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661523 (or 661511 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19144690416 in words is "nineteen billion, one hundred forty-four million, six hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 661439 1322878 1984317 2645756 3968634 5291512 5952951 7937268 10583024 11905902 15874536 17858853 23811804 31749072 35717706 44316413 47623608 71435412 88632826 95247216 132949239 142870824 177265652 265898478 285741648 354531304 398847717 531796956 709062608 797695434 1063593912 1196543151 1595390868 2127187824 2393086302 3190781736 4786172604 6381563472 9572345208 19144690416