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5216643696 = 2431136726921
BaseRepresentation
bin1001101101110111…
…11010101001110000
3111110120000221211210
410312323322221300
541140430044241
62221350440120
7243162511515
oct46673725160
914416027753
105216643696
112237728690
121017063040
136519c2724
14376b7730c
15207e9c316
hex136efaa70

5216643696 has 80 divisors (see below), whose sum is σ = 14742056448. Its totient is φ = 1576435200.

The previous prime is 5216643631. The next prime is 5216643697. The reversal of 5216643696 is 6963466125.

It is a happy number.

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 (5216643697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180316 + ... + 207236.

Almost surely, 25216643696 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 5216643696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371028224).

5216643696 is an abundant number, since it is smaller than the sum of its proper divisors (9525412752).

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

5216643696 is a wasteful number, since it uses less digits than its factorization.

5216643696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310 (or 27304 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 5216643696 is about 72226.3365816099. The cubic root of 5216643696 is about 1734.3246293522.

The spelling of 5216643696 in words is "five billion, two hundred sixteen million, six hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 367 528 734 1101 1468 2202 2936 4037 4404 5872 8074 8808 12111 16148 17616 24222 26921 32296 48444 53842 64592 80763 96888 107684 161526 193776 215368 296131 323052 430736 592262 646104 888393 1184524 1292208 1776786 2369048 3553572 4738096 7107144 9880007 14214288 19760014 29640021 39520028 59280042 79040056 108680077 118560084 158080112 217360154 237120168 326040231 434720308 474240336 652080462 869440616 1304160924 1738881232 2608321848 5216643696