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19119665740816 = 24172643032
BaseRepresentation
bin1000101100011101001001…
…11000100111110000010000
32111200211012101020120021101
410112032210320213300100
510001224033412201231
6104355241515434144
74012231066210444
oct426164470476020
974624171216241
1019119665740816
116101671953403
122189629455954
13a88c90b9ac74
144a157a9ca824
1523252e09a661
hex1163a4e27c10

19119665740816 has 45 divisors (see below), whose sum is σ = 39352225055421. Its totient is φ = 8997349837056.

The previous prime is 19119665740793. The next prime is 19119665740823. The reversal of 19119665740816 is 61804756691191.

The square root of 19119665740816 is 4372604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14885552912400 + 4234112828416 = 3858180^2 + 2057696^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 297304921 + ... + 297369223.

Almost surely, 219119665740816 is an apocalyptic number.

19119665740816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19119665740816 is the 4372604-th square number.

It is an amenable number.

19119665740816 is an abundant number, since it is smaller than the sum of its proper divisors (20232559314605).

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

19119665740816 is an frugal number, since it uses more digits than its factorization.

19119665740816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128648 (or 64322 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 64.

The spelling of 19119665740816 in words is "nineteen trillion, one hundred nineteen billion, six hundred sixty-five million, seven hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 64303 128606 257212 514424 1028848 1093151 2186302 4372604 8745208 17490416 18583567 37167134 74334268 148668536 297337072 4134875809 8269751618 16539503236 33079006472 66158012944 70292888753 140585777506 281171555012 562343110024 1124686220048 1194979108801 2389958217602 4779916435204 9559832870408 19119665740816