Search a number
-
+
16984400937381 = 327143496111671
BaseRepresentation
bin1111011100100111110100…
…1011110100000110100101
32020010200201002210202002200
43313021331023310012211
54211233023114444011
6100042305344325113
73402040200642033
oct367117513640645
966120632722080
1016984400937381
115459053601779
121aa3835613799
13962811aa9a87
1442a09975d553
151e6c0ae47856
hexf727d2f41a5

16984400937381 has 24 divisors (see below), whose sum is σ = 24884283715200. Its totient is φ = 11160887287200.

The previous prime is 16984400937313. The next prime is 16984400937403. The reversal of 16984400937381 is 18373900448961.

16984400937381 is a `hidden beast` number, since 1 + 6 + 9 + 84 + 400 + 9 + 3 + 73 + 81 = 666.

It is not a de Polignac number, because 16984400937381 - 229 = 16983864066469 is a prime.

It is a super-2 number, since 2×169844009373812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16984400937781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276825 + ... + 5834846.

It is an arithmetic number, because the mean of its divisors is an integer number (1036845154800).

Almost surely, 216984400937381 is an apocalyptic number.

It is an amenable number.

16984400937381 is a deficient number, since it is larger than the sum of its proper divisors (7899882777819).

16984400937381 is a wasteful number, since it uses less digits than its factorization.

16984400937381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116097 (or 6116094 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16984400937381 in words is "sixteen trillion, nine hundred eighty-four billion, four hundred million, nine hundred thirty-seven thousand, three hundred eighty-one".

Divisors: 1 3 9 71 213 639 4349 13047 39141 308779 926337 2779011 6111671 18335013 55005039 433928641 1301785923 3905357769 26579657179 79738971537 239216914611 1887155659709 5661466979127 16984400937381