Search a number
-
+
5216030016 = 26329232303
BaseRepresentation
bin1001101101110011…
…00100110101000000
3111110111212210000220
410312321210311000
541140300430031
62221325343040
7243154344411
oct46671446500
914414783026
105216030016
11223734960a
121016a07a80
136518392c2
14376a57808
15207dca596
hex136e64d40

5216030016 has 84 divisors (see below), whose sum is σ = 14293486272. Its totient is φ = 1678670336.

The previous prime is 5216030011. The next prime is 5216030059. The reversal of 5216030016 is 6100306125.

It is a super-3 number, since 3×52160300163 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216030011) 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, 145321 + ... + 177623.

Almost surely, 25216030016 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 5216030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146743136).

5216030016 is an abundant number, since it is smaller than the sum of its proper divisors (9077456256).

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

5216030016 is a wasteful number, since it uses less digits than its factorization.

5216030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32376 (or 32337 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5216030016 is about 72222.0881448328. The cubic root of 5216030016 is about 1734.2566186964.

The spelling of 5216030016 in words is "five billion, two hundred sixteen million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 841 928 1392 1682 1856 2523 2784 3364 5046 5568 6728 10092 13456 20184 26912 32303 40368 53824 64606 80736 96909 129212 161472 193818 258424 387636 516848 775272 936787 1033696 1550544 1873574 2067392 2810361 3101088 3747148 5620722 6202176 7494296 11241444 14988592 22482888 27166823 29977184 44965776 54333646 59954368 81500469 89931552 108667292 163000938 179863104 217334584 326001876 434669168 652003752 869338336 1304007504 1738676672 2608015008 5216030016