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19731368016 = 243418478243
BaseRepresentation
bin10010011000000101…
…001100100001010000
31212221010001100110000
4102120011030201100
5310402212234031
613021531410000
71265650601163
oct223005144120
955833040400
1019731368016
11840592a918
1239a7bb3900
131b25b406b9
14d52759ada
157a73a63e6
hex49814c850

19731368016 has 100 divisors (see below), whose sum is σ = 57146154912. Its totient is φ = 6572764224.

The previous prime is 19731367993. The next prime is 19731368057. The reversal of 19731368016 is 61086313791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2389591 + ... + 2397833.

Almost surely, 219731368016 is an apocalyptic number.

19731368016 is a gapful number since it is divisible by the number (16) 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 19731368016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573077456).

19731368016 is an abundant number, since it is smaller than the sum of its proper divisors (37414786896).

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

19731368016 is a wasteful number, since it uses less digits than its factorization.

19731368016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19731368016 in words is "nineteen billion, seven hundred thirty-one million, three hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1847 3694 5541 7388 8243 11082 14776 16486 16623 22164 24729 29552 32972 33246 44328 49458 49869 65944 66492 74187 88656 98916 99738 131888 132984 148374 149607 197832 199476 222561 265968 296748 299214 395664 398952 445122 593496 598428 667683 797904 890244 1186992 1196856 1335366 1780488 2393712 2670732 3560976 5341464 10682928 15224821 30449642 45674463 60899284 91348926 121798568 137023389 182697852 243597136 274046778 365395704 411070167 548093556 730791408 822140334 1096187112 1233210501 1644280668 2192374224 2466421002 3288561336 4932842004 6577122672 9865684008 19731368016