Search a number
-
+
56144203776 = 212321523009
BaseRepresentation
bin110100010010011101…
…001001000000000000
312100220210020001200200
4310102131021000000
51404440404010101
641443045045200
74025206600203
oct642235110000
9170823201620
1056144203776
11218a0a37311
12aa6a6b6800
1353a998836b
142a0875993a
1516d8eb4986
hexd12749000

56144203776 has 78 divisors (see below), whose sum is σ = 162174673830. Its totient is φ = 18714722304.

The previous prime is 56144203727. The next prime is 56144203777. The reversal of 56144203776 is 67730244165.

56144203776 is a `hidden beast` number, since 5 + 614 + 4 + 20 + 3 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49007333376 + 7136870400 = 221376^2 + 84480^2 .

It is not an unprimeable number, because it can be changed into a prime (56144203777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724641 + ... + 798368.

It is an arithmetic number, because the mean of its divisors is an integer number (2079162485).

Almost surely, 256144203776 is an apocalyptic number.

It is an amenable number.

56144203776 is an abundant number, since it is smaller than the sum of its proper divisors (106030470054).

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

56144203776 is a wasteful number, since it uses less digits than its factorization.

56144203776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523039 (or 1523014 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 56144203776 in words is "fifty-six billion, one hundred forty-four million, two hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 1523009 3046018 4569027 6092036 9138054 12184072 13707081 18276108 24368144 27414162 36552216 48736288 54828324 73104432 97472576 109656648 146208864 194945152 219313296 292417728 389890304 438626592 584835456 779780608 877253184 1169670912 1559561216 1754506368 2339341824 3119122432 3509012736 4678683648 6238244864 7018025472 9357367296 14036050944 18714734592 28072101888 56144203776