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12433049472 = 273311044443
BaseRepresentation
bin10111001010001000…
…10100011110000000
31012002110222100112210
423211010110132000
5200430330040342
65413415222120
7620050114434
oct134504243600
935073870483
1012433049472
1153001500a8
1224ab977940
131231aa810c
1485d3469c4
154cb7b179c
hex2e5114780

12433049472 has 64 divisors (see below), whose sum is σ = 34090652160. Its totient is φ = 4010657280.

The previous prime is 12433049459. The next prime is 12433049477. The reversal of 12433049472 is 27494033421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12433049472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433049477) by changing a digit.

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, 510318 + ... + 534125.

It is an arithmetic number, because the mean of its divisors is an integer number (532666440).

Almost surely, 212433049472 is an apocalyptic number.

12433049472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12433049472 is an abundant number, since it is smaller than the sum of its proper divisors (21657602688).

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

12433049472 is a wasteful number, since it uses less digits than its factorization.

12433049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044491 (or 1044479 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 12433049472 in words is "twelve billion, four hundred thirty-three million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 1044443 2088886 3133329 4177772 6266658 8355544 12533316 16711088 25066632 32377733 33422176 50133264 64755466 66844352 97133199 100266528 129510932 133688704 194266398 200533056 259021864 388532796 401066112 518043728 777065592 1036087456 1554131184 2072174912 3108262368 4144349824 6216524736 12433049472