Search a number
-
+
6416078816 = 257219720771
BaseRepresentation
bin1011111100110110…
…11001011111100000
3121120010222120111202
411332123121133200
5101120004010231
62540354500332
7314665525100
oct57633313740
917503876452
106416078816
1127a2788a84
1212b08946a8
137b3349a54
1444c19b200
152784255cb
hex17e6d97e0

6416078816 has 72 divisors (see below), whose sum is σ = 14769265896. Its totient is φ = 2735658240.

The previous prime is 6416078789. The next prime is 6416078819. The reversal of 6416078816 is 6188706146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416078819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298511 + ... + 319281.

It is an arithmetic number, because the mean of its divisors is an integer number (205128693).

Almost surely, 26416078816 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 6416078816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384632948).

6416078816 is an abundant number, since it is smaller than the sum of its proper divisors (8353187080).

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

6416078816 is a wasteful number, since it uses less digits than its factorization.

6416078816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 20977 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 6416078816 is about 80100.4295618944. The cubic root of 6416078816 is about 1858.1890509621.

The spelling of 6416078816 in words is "six billion, four hundred sixteen million, seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 197 224 392 394 784 788 1379 1568 1576 2758 3152 5516 6304 9653 11032 19306 20771 22064 38612 41542 44128 77224 83084 145397 154448 166168 290794 308896 332336 581588 664672 1017779 1163176 2035558 2326352 4071116 4091887 4652704 8142232 8183774 16284464 16367548 28643209 32568928 32735096 57286418 65470192 114572836 130940384 200502463 229145672 401004926 458291344 802009852 916582688 1604019704 3208039408 6416078816