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5213200000 = 275513033
BaseRepresentation
bin1001101101011101…
…10001111010000000
3111110022112222222111
410312232301322000
541134034400000
62221144545104
7243121316551
oct46656617200
914408488874
105213200000
112235796358
121015a82194
13651088138
1437651c328
15207a1bcba
hex136bb1e80

5213200000 has 96 divisors (see below), whose sum is σ = 12982255020. Its totient is φ = 2085120000.

The previous prime is 5213199997. The next prime is 5213200021. The reversal of 5213200000 is 23125.

It can be written as a sum of positive squares in 6 ways, for example, as 432307264 + 4780892736 = 20792^2 + 69144^2 .

It is a super-3 number, since 3×52132000003 (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 3.

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, 393484 + ... + 406516.

Almost surely, 25213200000 is an apocalyptic number.

5213200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491127510).

5213200000 is an abundant number, since it is smaller than the sum of its proper divisors (7769055020).

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

5213200000 is an frugal number, since it uses more digits than its factorization.

5213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5213200000 is about 72202.4930317506. The cubic root of 5213200000 is about 1733.9429151161.

Adding to 5213200000 its reverse (23125), we get a palindrome (5213223125).

It can be divided in two parts, 521 and 3200000, that added together give a square (3200521 = 17892).

The spelling of 5213200000 in words is "five billion, two hundred thirteen million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 13033 16000 20000 25000 26066 40000 50000 52132 65165 80000 100000 104264 130330 200000 208528 260660 325825 400000 417056 521320 651650 834112 1042640 1303300 1629125 1668224 2085280 2606600 3258250 4170560 5213200 6516500 8145625 8341120 10426400 13033000 16291250 20852800 26066000 32582500 40728125 41705600 52132000 65165000 81456250 104264000 130330000 162912500 208528000 260660000 325825000 521320000 651650000 1042640000 1303300000 2606600000 5213200000