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12023809536 = 29327192879
BaseRepresentation
bin10110011001010110…
…01100011000000000
31011000221220210220010
423030223030120000
5144111043401121
65305035544520
7603650460204
oct131453143000
934027823803
1012023809536
115110144082
1223b68bb140
13119807cbcb
14820c58b04
154a58c5376
hex2ccacc600

12023809536 has 80 divisors (see below), whose sum is σ = 32055091200. Its totient is φ = 4005070848.

The previous prime is 12023809477. The next prime is 12023809573. The reversal of 12023809536 is 63590832021.

It is a junction number, because it is equal to n+sod(n) for n = 12023809494 and 12023809503.

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 7 ways as a sum of consecutive naturals, for example, 4174945 + ... + 4177823.

It is an arithmetic number, because the mean of its divisors is an integer number (400688640).

Almost surely, 212023809536 is an apocalyptic number.

12023809536 is a gapful number since it is divisible by the number (16) 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 12023809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027545600).

12023809536 is an abundant number, since it is smaller than the sum of its proper divisors (20031281664).

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

12023809536 is an equidigital number, since it uses as much as digits as its factorization.

12023809536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12023809536 in words is "twelve billion, twenty-three million, eight hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2719 2879 5438 5758 8157 8637 10876 11516 16314 17274 21752 23032 32628 34548 43504 46064 65256 69096 87008 92128 130512 138192 174016 184256 261024 276384 348032 368512 522048 552768 696064 737024 1044096 1105536 1392128 1474048 2088192 2211072 4176384 4422144 7828001 15656002 23484003 31312004 46968006 62624008 93936012 125248016 187872024 250496032 375744048 500992064 751488096 1001984128 1502976192 2003968256 3005952384 4007936512 6011904768 12023809536