Search a number
-
+
6400014900 = 22352113188791
BaseRepresentation
bin1011111010111100…
…00111101000110100
3121112000202102221220
411331132013220310
5101101400434100
62535022310340
7314412141366
oct57536075064
917460672856
106400014900
112794706a14
1212a74283b0
137acc14086
14449db8d36
15276d00aa0
hex17d787a34

6400014900 has 72 divisors (see below), whose sum is σ = 18681345984. Its totient is φ = 1691558400.

The previous prime is 6400014889. The next prime is 6400014923. The reversal of 6400014900 is 94100046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60496 + ... + 128295.

Almost surely, 26400014900 is an apocalyptic number.

6400014900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6400014900 is an abundant number, since it is smaller than the sum of its proper divisors (12281331084).

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

6400014900 is a wasteful number, since it uses less digits than its factorization.

6400014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188921 (or 188914 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6400014900 is about 80000.0931249458. The cubic root of 6400014900 is about 1856.6369742705.

Adding to 6400014900 its reverse (94100046), we get a palindrome (6494114946).

The spelling of 6400014900 in words is "six billion, four hundred million, fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 188791 377582 566373 755164 943955 1132746 1887910 2265492 2831865 3775820 4719775 5663730 9439550 11327460 14159325 18879100 21333383 28318650 42666766 56637300 64000149 85333532 106666915 128000298 213333830 256000596 320000745 426667660 533334575 640001490 1066669150 1280002980 1600003725 2133338300 3200007450 6400014900