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5207103584 = 252322910607
BaseRepresentation
bin1001101100101111…
…00001100001100000
3111102220002021021022
410312113201201200
541131004303314
62220410145012
7243015436004
oct46627414140
914386067238
105207103584
112232301aa1
121013a22168
1364ca322a7
143757b2704
1520721578e
hex1365e1860

5207103584 has 72 divisors (see below), whose sum is σ = 11087163360. Its totient is φ = 2404252928.

The previous prime is 5207103571. The next prime is 5207103593. The reversal of 5207103584 is 4853017025.

It is a happy number.

It is a super-2 number, since 2×52071035842 = 54227855469011290112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485609 + ... + 496215.

It is an arithmetic number, because the mean of its divisors is an integer number (153988380).

Almost surely, 25207103584 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 5207103584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543581680).

5207103584 is an abundant number, since it is smaller than the sum of its proper divisors (5880059776).

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

5207103584 is a wasteful number, since it uses less digits than its factorization.

5207103584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5207103584 is about 72160.2631924247. The cubic root of 5207103584 is about 1733.2667494476.

The spelling of 5207103584 in words is "five billion, two hundred seven million, one hundred three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 529 667 736 928 1058 1334 2116 2668 4232 5336 8464 10607 10672 15341 16928 21214 21344 30682 42428 61364 84856 122728 169712 243961 245456 307603 339424 487922 490912 615206 975844 1230412 1951688 2460824 3903376 4921648 5611103 7074869 7806752 9843296 11222206 14149738 22444412 28299476 44888824 56598952 89777648 113197904 162721987 179555296 226395808 325443974 650887948 1301775896 2603551792 5207103584