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19392672016 = 2453612331609
BaseRepresentation
bin10010000011111001…
…001011000100010000
31212001111201210212201
4102003321023010100
5304204011001031
612524152132544
71254365664244
oct220371130420
955044653781
1019392672016
118251726573
123912697154
131aa0914773
14d1d792424
157877a1d61
hex483e4b110

19392672016 has 80 divisors (see below), whose sum is σ = 39101091120. Its totient is φ = 9311477760.

The previous prime is 19392672011. The next prime is 19392672029. The reversal of 19392672016 is 61027629391.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16032016 + 19376640000 = 4004^2 + 139200^2 .

It is not an unprimeable number, because it can be changed into a prime (19392672011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12051820 + ... + 12053428.

It is an arithmetic number, because the mean of its divisors is an integer number (488763639).

Almost surely, 219392672016 is an apocalyptic number.

19392672016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19392672016 is an abundant number, since it is smaller than the sum of its proper divisors (19708419104).

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

19392672016 is a wasteful number, since it uses less digits than its factorization.

19392672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 19392672016 in words is "nineteen billion, three hundred ninety-two million, six hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 8 16 53 61 106 122 212 233 244 424 466 488 848 932 976 1609 1864 3218 3233 3728 6436 6466 12349 12872 12932 14213 24698 25744 25864 28426 49396 51728 56852 85277 98149 98792 113704 170554 196298 197584 227408 341108 374897 392596 682216 749794 753289 785192 1364432 1499588 1506578 1570384 2999176 3013156 5201897 5998352 6026312 10403794 12052624 19869541 20807588 22868717 39739082 41615176 45737434 79478164 83230352 91474868 158956328 182949736 317912656 365899472 1212042001 2424084002 4848168004 9696336008 19392672016