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5219530416 = 2432311116549
BaseRepresentation
bin1001101110001101…
…11011011010110000
3111110202110121200100
410313012323122300
541142144433131
62221532352400
7243226163562
oct46706733260
914422417610
105219530416
11223931a501
121018015700
13652493649
143772c9332
1520836c7e6
hex1371bb6b0

5219530416 has 60 divisors (see below), whose sum is σ = 14654530800. Its totient is φ = 1734234240.

The previous prime is 5219530411. The next prime is 5219530427. The reversal of 5219530416 is 6140359125.

5219530416 is a `hidden beast` number, since 52 + 195 + 3 + 0 + 416 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5219530411) 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, 13491 + ... + 103058.

It is an arithmetic number, because the mean of its divisors is an integer number (244242180).

Almost surely, 25219530416 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 5219530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327265400).

5219530416 is an abundant number, since it is smaller than the sum of its proper divisors (9435000384).

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

5219530416 is a wasteful number, since it uses less digits than its factorization.

5219530416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116874 (or 116865 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5219530416 is about 72246.3176639474. The cubic root of 5219530416 is about 1734.6444765368.

The spelling of 5219530416 in words is "five billion, two hundred nineteen million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 3732 4976 5598 7464 11196 14928 22392 44784 116549 233098 349647 466196 699294 932392 1048941 1398588 1864784 2097882 2797176 4195764 5594352 8391528 16783056 36246739 72493478 108740217 144986956 217480434 289973912 326220651 434960868 579947824 652441302 869921736 1304882604 1739843472 2609765208 5219530416