Base | Representation |
---|---|
bin | 1111010000101110111010… |
… | …1001011101000111000000 |
3 | 2012102011111020022001201100 |
4 | 3310023232221131013000 |
5 | 4144411214400241340 |
6 | 55404405342334400 |
7 | 3351216443332200 |
oct | 364135651350700 |
9 | 65364436261640 |
10 | 16780146102720 |
11 | 538a4690212a0 |
12 | 1a70130b8a400 |
13 | 949490123070 |
14 | 420240550400 |
15 | 1e17541b1830 |
hex | f42eea5d1c0 |
16780146102720 has 4032 divisors, whose sum is σ = 83290747962240. Its totient is φ = 3043314892800.
The previous prime is 16780146102649. The next prime is 16780146102721. The reversal of 16780146102720 is 2720164108761.
16780146102720 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 0 + 1 + 4 + 610 + 2 + 7 + 20 = 666.
16780146102720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16780146102721) by changing a digit.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 31016905650 + ... + 31016906190.
It is an arithmetic number, because the mean of its divisors is an integer number (20657427570).
Almost surely, 216780146102720 is an apocalyptic number.
16780146102720 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 16780146102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41645373981120).
16780146102720 is an abundant number, since it is smaller than the sum of its proper divisors (66510601859520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16780146102720 is a wasteful number, since it uses less digits than its factorization.
16780146102720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 684 (or 664 counting only the distinct ones).
The product of its (nonzero) digits is 225792, while the sum is 45.
The spelling of 16780146102720 in words is "sixteen trillion, seven hundred eighty billion, one hundred forty-six million, one hundred two thousand, seven hundred twenty".
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