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12433621216 = 256161310391
BaseRepresentation
bin10111001010001101…
…00000000011100000
31012002112001101211111
423211012200003200
5200431001334331
65413435353104
7620055015352
oct134506400340
935075041744
1012433621216
115300500715
1224abbb2794
131231c48423
1485d4550d2
154cb875db1
hex2e51a00e0

12433621216 has 48 divisors (see below), whose sum is σ = 24922967328. Its totient is φ = 6104332800.

The previous prime is 12433621199. The next prime is 12433621217. The reversal of 12433621216 is 61212633421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433621217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191381 + ... + 1201771.

It is an arithmetic number, because the mean of its divisors is an integer number (519228486).

Almost surely, 212433621216 is an apocalyptic number.

12433621216 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 12433621216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461483664).

12433621216 is an abundant number, since it is smaller than the sum of its proper divisors (12489346112).

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

12433621216 is a wasteful number, since it uses less digits than its factorization.

12433621216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11067 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The spelling of 12433621216 in words is "twelve billion, four hundred thirty-three million, six hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 488 613 976 1226 1952 2452 4904 9808 10391 19616 20782 37393 41564 74786 83128 149572 166256 299144 332512 598288 633851 1196576 1267702 2535404 5070808 6369683 10141616 12739366 20283232 25478732 50957464 101914928 203829856 388550663 777101326 1554202652 3108405304 6216810608 12433621216