Search a number
-
+
16781055616 = 271371142039
BaseRepresentation
bin11111010000011101…
…01001011010000000
31121022111111221200101
433220032221122000
5233331422234431
611413100132144
71132564422253
oct175016513200
947274457611
1016781055616
117131517506
123303b37054
131775835310
14b529a909a
15683379961
hex3e83a9680

16781055616 has 64 divisors (see below), whose sum is σ = 36509961600. Its totient is φ = 7635962880.

The previous prime is 16781055547. The next prime is 16781055647. The reversal of 16781055616 is 61655018761.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47125 + ... + 189163.

It is an arithmetic number, because the mean of its divisors is an integer number (570468150).

Almost surely, 216781055616 is an apocalyptic number.

16781055616 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 16781055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254980800).

16781055616 is an abundant number, since it is smaller than the sum of its proper divisors (19728905984).

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

16781055616 is a wasteful number, since it uses less digits than its factorization.

16781055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142137 (or 142125 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 16781055616 in words is "sixteen billion, seven hundred eighty-one million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 284 416 568 832 923 1136 1664 1846 2272 3692 4544 7384 9088 14768 29536 59072 118144 142039 284078 568156 1136312 1846507 2272624 3693014 4545248 7386028 9090496 10084769 14772056 18180992 20169538 29544112 40339076 59088224 80678152 118176448 131101997 161356304 236352896 262203994 322712608 524407988 645425216 1048815976 1290850432 2097631952 4195263904 8390527808 16781055616