Search a number
-
+
16721134560 = 2534513611627
BaseRepresentation
bin11111001001010100…
…00100001111100000
31121011022202122110000
433210222010033200
5233221102301220
611403115540000
71131236204304
oct174452041740
947138678400
1016721134560
11710070a979
1232a7a5a600
1317662b5280
14b48a4bd04
1567ce90390
hex3e4a843e0

16721134560 has 480 divisors, whose sum is σ = 64632550752. Its totient is φ = 4046008320.

The previous prime is 16721134517. The next prime is 16721134571. The reversal of 16721134560 is 6543112761.

16721134560 is a `hidden beast` number, since 1 + 67 + 2 + 1 + 1 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10276467 + ... + 10278093.

Almost surely, 216721134560 is an apocalyptic number.

16721134560 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 16721134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316275376).

16721134560 is an abundant number, since it is smaller than the sum of its proper divisors (47911416192).

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

16721134560 is a wasteful number, since it uses less digits than its factorization.

16721134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16721134560 in words is "sixteen billion, seven hundred twenty-one million, one hundred thirty-four thousand, five hundred sixty".