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55284106401 = 32314729314389
BaseRepresentation
bin110011011111001100…
…001000010010100001
312021200211210120220100
4303133030020102201
51401210212401101
641221442133013
73664664102526
oct633714102241
9167624716810
1055284106401
112149a489437
12a86a651169
1352a07230c4
14296642914d
15168871ae86
hexcdf3084a1

55284106401 has 48 divisors (see below), whose sum is σ = 84477818880. Its totient is φ = 34786730880.

The previous prime is 55284106357. The next prime is 55284106421. The reversal of 55284106401 is 10460148255.

It is a happy number.

55284106401 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 4 + 1 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 55284106401 - 29 = 55284105889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55284106421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3834915 + ... + 3849303.

It is an arithmetic number, because the mean of its divisors is an integer number (1759954560).

Almost surely, 255284106401 is an apocalyptic number.

It is an amenable number.

55284106401 is a deficient number, since it is larger than the sum of its proper divisors (29193712479).

55284106401 is a wasteful number, since it uses less digits than its factorization.

55284106401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55284106401 in words is "fifty-five billion, two hundred eighty-four million, one hundred six thousand, four hundred one".

Divisors: 1 3 9 31 47 93 141 279 293 423 879 1457 2637 4371 9083 13113 13771 14389 27249 41313 43167 81747 123939 129501 426901 446059 676283 1280703 1338177 2028849 3842109 4014531 4215977 6086547 12647931 20964773 37943793 62894319 130695287 188682957 198150919 392085861 594452757 1176257583 1783358271 6142678489 18428035467 55284106401