Search a number
-
+
16516282368 = 211310326099
BaseRepresentation
bin11110110000111001…
…00111100000000000
31120122001022002001210
433120130213200000
5232311132013433
611330521130120
71123201040505
oct173034474000
946561262053
1016516282368
117006013443
12324b329940
131732a1c561
14b297654ac
15669ec8463
hex3d8727800

16516282368 has 96 divisors (see below), whose sum is σ = 44461872000. Its totient is φ = 5451767808.

The previous prime is 16516282291. The next prime is 16516282369. The reversal of 16516282368 is 86328261561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16516282369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619783 + ... + 645881.

It is an arithmetic number, because the mean of its divisors is an integer number (463144500).

Almost surely, 216516282368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16516282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230936000).

16516282368 is an abundant number, since it is smaller than the sum of its proper divisors (27945589632).

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

16516282368 is a wasteful number, since it uses less digits than its factorization.

16516282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26227 (or 26207 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 16516282368 in words is "sixteen billion, five hundred sixteen million, two hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2048 2472 3072 3296 4944 6144 6592 9888 13184 19776 26099 26368 39552 52198 52736 78297 79104 104396 105472 156594 158208 208792 210944 313188 316416 417584 626376 632832 835168 1252752 1670336 2505504 2688197 3340672 5011008 5376394 6681344 8064591 10022016 10752788 13362688 16129182 20044032 21505576 26725376 32258364 40088064 43011152 53450752 64516728 80176128 86022304 129033456 160352256 172044608 258066912 344089216 516133824 688178432 1032267648 1376356864 2064535296 2752713728 4129070592 5505427456 8258141184 16516282368