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12179616144 = 2432311032261
BaseRepresentation
bin10110101011111011…
…00011000110010000
31011102211002121101020
423111331203012100
5144420440204034
65332323235440
7610552012653
oct132575430620
934384077336
1012179616144
115190091973
12243ab18b80
1311c1432a77
1483781589a
154b4400249
hex2d5f63190

12179616144 has 40 divisors (see below), whose sum is σ = 32832011712. Its totient is φ = 3883355520.

The previous prime is 12179616131. The next prime is 12179616149. The reversal of 12179616144 is 44161697121.

12179616144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12179616096 and 12179616105.

It is not an unprimeable number, because it can be changed into a prime (12179616149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5515027 + ... + 5517234.

Almost surely, 212179616144 is an apocalyptic number.

It is an amenable number.

12179616144 is an abundant number, since it is smaller than the sum of its proper divisors (20652395568).

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

12179616144 is a wasteful number, since it uses less digits than its factorization.

12179616144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032295 (or 11032289 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 12179616144 in words is "twelve billion, one hundred seventy-nine million, six hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 11032261 22064522 33096783 44129044 66193566 88258088 132387132 176516176 253742003 264774264 507484006 529548528 761226009 1014968012 1522452018 2029936024 3044904036 4059872048 6089808072 12179616144