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15312819424 = 257292638963
BaseRepresentation
bin11100100001011011…
…10001010011100000
31110112011202211021011
432100231301103200
5222330040210144
611011250510304
71051315550260
oct162055612340
943464684234
1015312819424
116548761971
122b74295394
1315a05b4ac6
14a539b37a0
155e9506a34
hex390b714e0

15312819424 has 96 divisors (see below), whose sum is σ = 35781419520. Its totient is φ = 6311542272.

The previous prime is 15312819341. The next prime is 15312819469. The reversal of 15312819424 is 42491821351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703967 + ... + 1712929.

It is an arithmetic number, because the mean of its divisors is an integer number (372723120).

Almost surely, 215312819424 is an apocalyptic number.

15312819424 is a gapful number since it is divisible by the number (14) 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 15312819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17890709760).

15312819424 is an abundant number, since it is smaller than the sum of its proper divisors (20468600096).

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

15312819424 is a wasteful number, since it uses less digits than its factorization.

15312819424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9264 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The spelling of 15312819424 in words is "fifteen billion, three hundred twelve million, eight hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 263 406 464 526 812 928 1052 1624 1841 2104 3248 3682 4208 6496 7364 7627 8416 8963 14728 15254 17926 29456 30508 35852 53389 58912 61016 62741 71704 106778 122032 125482 143408 213556 244064 250964 259927 286816 427112 501928 519854 854224 1003856 1039708 1708448 1819489 2007712 2079416 2357269 3638978 4158832 4714538 7277956 8317664 9429076 14555912 16500883 18858152 29111824 33001766 37716304 58223648 66003532 68360801 75432608 132007064 136721602 264014128 273443204 478525607 528028256 546886408 957051214 1093772816 1914102428 2187545632 3828204856 7656409712 15312819424