Search a number
-
+
16455305502720 = 213335722937283
BaseRepresentation
bin1110111101110100110010…
…1000111010000000000000
32011021010000112101210212000
43233131030220322000000
54124100431202041340
654555244001104000
73315566544645300
oct357351450720000
964233015353760
1016455305502720
115274723a70607
121a19194628000
13924961acb596
1440c6262b9600
151d8090d19d30
hexef74ca3a000

16455305502720 has 2688 divisors, whose sum is σ = 72560909894400. Its totient is φ = 3520881229824.

The previous prime is 16455305502679. The next prime is 16455305502731. The reversal of 16455305502720 is 2720550355461.

It is a happy number.

16455305502720 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 53 + 0 + 550 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×164553055027202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58145955699 + ... + 58145955981.

Almost surely, 216455305502720 is an apocalyptic number.

16455305502720 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 16455305502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36280454947200).

16455305502720 is an abundant number, since it is smaller than the sum of its proper divisors (56105604391680).

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

16455305502720 is a wasteful number, since it uses less digits than its factorization.

16455305502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 16455305502720 in words is "sixteen trillion, four hundred fifty-five billion, three hundred five million, five hundred two thousand, seven hundred twenty".