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56457401248 = 2561107270307
BaseRepresentation
bin110100100101000111…
…111001001110100000
312101201121120010212001
4310211013321032200
51411111043314443
641534114013344
74036031664313
oct644507711640
9171647503761
1056457401248
1121a418051a6
12ab37577254
135429827201
142a381a697a
15170672dd4d
hexd251f93a0

56457401248 has 48 divisors (see below), whose sum is σ = 114028889184. Its totient is φ = 27506338560.

The previous prime is 56457401239. The next prime is 56457401281. The reversal of 56457401248 is 84210475465.

It is a junction number, because it is equal to n+sod(n) for n = 56457401198 and 56457401207.

It is an unprimeable number.

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, 73711 + ... + 344017.

It is an arithmetic number, because the mean of its divisors is an integer number (2375601858).

Almost surely, 256457401248 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 56457401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57014444592).

56457401248 is an abundant number, since it is smaller than the sum of its proper divisors (57571487936).

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

56457401248 is a wasteful number, since it uses less digits than its factorization.

56457401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270485 (or 270477 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 56457401248 in words is "fifty-six billion, four hundred fifty-seven million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 107 122 214 244 428 488 856 976 1712 1952 3424 6527 13054 26108 52216 104432 208864 270307 540614 1081228 2162456 4324912 8649824 16488727 28922849 32977454 57845698 65954908 115691396 131909816 231382792 263819632 462765584 527639264 925531168 1764293789 3528587578 7057175156 14114350312 28228700624 56457401248