Search a number
-
+
16884793344 = 2153171761
BaseRepresentation
bin11111011100110100…
…11000000000000000
31121120201201101002110
433232122120000000
5234040001341334
611431243415320
71135264242516
oct175632300000
947521641073
1016884793344
117185031171
123332824540
1317911871a3
14b626904b6
1568c51bae9
hex3ee698000

16884793344 has 64 divisors (see below), whose sum is σ = 45025690680. Its totient is φ = 5628231680.

The previous prime is 16884793339. The next prime is 16884793357. The reversal of 16884793344 is 44339748861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12424 + ... + 184184.

Almost surely, 216884793344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16884793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22512845340).

16884793344 is an abundant number, since it is smaller than the sum of its proper divisors (28140897336).

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

16884793344 is an frugal number, since it uses more digits than its factorization.

16884793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171794 (or 171766 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 16884793344 in words is "sixteen billion, eight hundred eighty-four million, seven hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 98304 171761 343522 515283 687044 1030566 1374088 2061132 2748176 4122264 5496352 8244528 10992704 16489056 21985408 32978112 43970816 65956224 87941632 131912448 175883264 263824896 351766528 527649792 703533056 1055299584 1407066112 2110599168 2814132224 4221198336 5628264448 8442396672 16884793344