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12433437627664 = 248815272
BaseRepresentation
bin1011010011101110001010…
…1000100001010100010000
31122000121212122102221210111
42310323202220201110100
53112202140013041124
642235501542411104
72422200114034324
oct264734250412420
948017778387714
1012433437627664
113a63a9a446829
121489825130a94
136c2611661911
1430dad298d984
1516865012e494
hexb4ee2a21510

12433437627664 has 15 divisors (see below), whose sum is σ = 24089812730967. Its totient is φ = 6216711761616.

The previous prime is 12433437627661. The next prime is 12433437627673. The reversal of 12433437627664 is 46672673433421.

The square root of 12433437627664 is 3526108.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12433437627599 and 12433437627608.

It is not an unprimeable number, because it can be changed into a prime (12433437627661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13663669 + ... + 14545195.

Almost surely, 212433437627664 is an apocalyptic number.

12433437627664 is the 3526108-th square number.

It is an amenable number.

12433437627664 is a deficient number, since it is larger than the sum of its proper divisors (11656375103303).

12433437627664 is an frugal number, since it uses more digits than its factorization.

12433437627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763062 (or 881529 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 58.

The spelling of 12433437627664 in words is "twelve trillion, four hundred thirty-three billion, four hundred thirty-seven million, six hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 881527 1763054 3526108 7052216 14104432 777089851729 1554179703458 3108359406916 6216718813832 12433437627664