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10243428800 = 265211582013
BaseRepresentation
bin10011000101000111…
…00101000111000000
3222102212211002122212
421202203211013000
5131434304210200
64412240121252
7511561464623
oct114243450700
928385732585
1010243428800
11438716a740
121b9a606228
13c7326bb97
146d260bdba
153ee445035
hex2628e51c0

10243428800 has 84 divisors (see below), whose sum is σ = 27496669416. Its totient is φ = 3724876800.

The previous prime is 10243428781. The next prime is 10243428817. The reversal of 10243428800 is 882434201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273407 + ... + 308606.

Almost surely, 210243428800 is an apocalyptic number.

10243428800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10243428800 is an abundant number, since it is smaller than the sum of its proper divisors (17253240616).

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

10243428800 is a wasteful number, since it uses less digits than its factorization.

10243428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582046 (or 582031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 10243428800 in words is "ten billion, two hundred forty-three million, four hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 582013 1164026 2328052 2910065 4656104 5820130 6402143 9312208 11640260 12804286 14550325 18624416 23280520 25608572 29100650 32010715 37248832 46561040 51217144 58201300 64021430 93122080 102434288 116402600 128042860 160053575 186244160 204868576 232805200 256085720 320107150 409737152 465610400 512171440 640214300 931220800 1024342880 1280428600 2048685760 2560857200 5121714400 10243428800