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5345000000 = 26571069
BaseRepresentation
bin1001111101001011…
…00011101001000000
3111210111120010120222
410332211203221000
541421310000000
62242213522212
7246311515244
oct47645435100
914714503528
105345000000
1122a312767a
121052043368
13672483cc2
14389c2a424
152143a3a85
hex13e963a40

5345000000 has 112 divisors (see below), whose sum is σ = 13270473840. Its totient is φ = 2136000000.

The previous prime is 5344999999. The next prime is 5345000009. The reversal of 5345000000 is 5435.

It can be written as a sum of positive squares in 8 ways, for example, as 4058199616 + 1286800384 = 63704^2 + 35872^2 .

It is not an unprimeable number, because it can be changed into a prime (5345000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999466 + ... + 5000534.

Almost surely, 25345000000 is an apocalyptic number.

5345000000 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 5345000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635236920).

5345000000 is an abundant number, since it is smaller than the sum of its proper divisors (7925473840).

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

5345000000 is an frugal number, since it uses more digits than its factorization.

5345000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5345000000 is about 73109.5069057370. The cubic root of 5345000000 is about 1748.4339731734.

Adding to 5345000000 its reverse (5435), we get a palindrome (5345005435).

The spelling of 5345000000 in words is "five billion, three hundred forty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1069 1250 1600 2000 2138 2500 3125 4000 4276 5000 5345 6250 8000 8552 10000 10690 12500 15625 17104 20000 21380 25000 26725 31250 34208 40000 42760 50000 53450 62500 68416 78125 85520 100000 106900 125000 133625 156250 171040 200000 213800 250000 267250 312500 342080 427600 500000 534500 625000 668125 855200 1000000 1069000 1250000 1336250 1710400 2138000 2500000 2672500 3340625 4276000 5000000 5345000 6681250 8552000 10690000 13362500 16703125 21380000 26725000 33406250 42760000 53450000 66812500 83515625 106900000 133625000 167031250 213800000 267250000 334062500 534500000 668125000 1069000000 1336250000 2672500000 5345000000