Search a number
-
+
16492674416640 = 24035
BaseRepresentation
bin1111000000000000000000…
…0000000000000000000000
32011101200110211121022202220
43300000000000000000000
54130203444122313030
655024344030411040
73321361563324222
oct360000000000000
964350424538686
1016492674416640
11528955a821744
121a24483360a80
13928338a45776
1441036d272412
151d902b830a10
hexf0000000000

16492674416640 has 164 divisors, whose sum is σ = 52776558133224. Its totient is φ = 4398046511104.

The previous prime is 16492674416573. The next prime is 16492674416653. The reversal of 16492674416640 is 4661447629461.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)37.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 16492674416640 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3298534883326 + ... + 3298534883330.

Almost surely, 216492674416640 is an apocalyptic number.

16492674416640 is a gapful number since it is divisible by the number (10) 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 16492674416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26388279066612).

16492674416640 is an abundant number, since it is smaller than the sum of its proper divisors (36283883716584).

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

16492674416640 is an frugal number, since it uses more digits than its factorization.

16492674416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

Multiplying 16492674416640 by its sum of digits (60), we get a square (989560464998400 = 314572802).

16492674416640 divided by its sum of digits (60) gives a 38-th power (274877906944 = 238).

The spelling of 16492674416640 in words is "sixteen trillion, four hundred ninety-two billion, six hundred seventy-four million, four hundred sixteen thousand, six hundred forty".