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6400000000 = 21458
BaseRepresentation
bin1011111010111100…
…00100000000000000
3121112000201200112001
411331132010000000
5101101400000000
62535022113344
7314412050062
oct57536040000
917460650461
106400000000
1127946a67a9
1212a741b854
137acc0a364
14449db3732
15276ceb46a
hex17d784000

6400000000 has 135 divisors (see below), whose sum is σ = 15999503527. Its totient is φ = 2560000000.

The previous prime is 6399999959. The next prime is 6400000007. The reversal of 6400000000 is 46.

The square root of 6400000000 is 80000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4550311936 + 1849688064 = 67456^2 + 43008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=200.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6400000007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1279999998 + ... + 1280000002.

Almost surely, 26400000000 is an apocalyptic number.

6400000000 is the 80000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400000000

6400000000 is an abundant number, since it is smaller than the sum of its proper divisors (9599503527).

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

6400000000 is an frugal number, since it uses more digits than its factorization.

6400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The cubic root of 6400000000 is about 1856.6355334451.

Multiplying 6400000000 by its sum of digits (10), we get a cube (64000000000 = 40003).

Adding to 6400000000 its reverse (46), we get a palindrome (6400000046).

The spelling of 6400000000 in words is "six billion, four hundred million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 8192 10000 10240 12500 12800 15625 16000 16384 20000 20480 25000 25600 31250 32000 40000 40960 50000 51200 62500 64000 78125 80000 81920 100000 102400 125000 128000 156250 160000 200000 204800 250000 256000 312500 320000 390625 400000 409600 500000 512000 625000 640000 781250 800000 1000000 1024000 1250000 1280000 1562500 1600000 2000000 2048000 2500000 2560000 3125000 3200000 4000000 5000000 5120000 6250000 6400000 8000000 10000000 10240000 12500000 12800000 16000000 20000000 25000000 25600000 32000000 40000000 50000000 51200000 64000000 80000000 100000000 128000000 160000000 200000000 256000000 320000000 400000000 640000000 800000000 1280000000 1600000000 3200000000 6400000000