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55305563968 = 268318115749
BaseRepresentation
bin110011100000011101…
…111110111101000000
312021202100011202011001
4303200131332331000
51401231211021333
641223530101344
73665344352164
oct634035767500
9167670152131
1055305563968
1121500604866
12a87587a854
1352a4cc6aa5
142969212ca4
15168a558b7d
hexce077ef40

55305563968 has 56 divisors (see below), whose sum is σ = 111149892000. Its totient is φ = 27299781120.

The previous prime is 55305563953. The next prime is 55305564047. The reversal of 55305563968 is 86936550355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9617158 + ... + 9622906.

It is an arithmetic number, because the mean of its divisors is an integer number (1984819500).

Almost surely, 255305563968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55305563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55574946000).

55305563968 is an abundant number, since it is smaller than the sum of its proper divisors (55844328032).

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

55305563968 is a wasteful number, since it uses less digits than its factorization.

55305563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 55.

The spelling of 55305563968 in words is "fifty-five billion, three hundred five million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 1811 2656 3622 5312 5749 7244 11498 14488 22996 28976 45992 57952 91984 115904 150313 183968 300626 367936 477167 601252 954334 1202504 1908668 2405008 3817336 4810016 7634672 9620032 10411439 15269344 20822878 30538688 41645756 83291512 166583024 333166048 666332096 864149437 1728298874 3456597748 6913195496 13826390992 27652781984 55305563968