Search a number
-
+
555105056004 = 223215419584889
BaseRepresentation
bin10000001001111101101…
…01101111010100000100
31222001211020002121011200
420010332311233110010
533043323343243004
61103002311502500
755051010060322
oct10047665572404
91861736077150
10555105056004
111a44673726a4
128b6bb687a30
13404667402a5
141cc1d960d12
15e68d782239
hex813ed6f504

555105056004 has 18 divisors (see below), whose sum is σ = 1403182224990. Its totient is φ = 185035018656.

The previous prime is 555105056003. The next prime is 555105056017. The reversal of 555105056004 is 400650501555.

555105056004 is a `hidden beast` number, since 5 + 551 + 0 + 50 + 56 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 554429160000 + 675896004 = 744600^2 + 25998^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15419584889 = 555105056004 / (5 + 5 + 5 + 1 + 0 + 5 + 0 + 5 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 555105056004.

It is not an unprimeable number, because it can be changed into a prime (555105056003) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7709792409 + ... + 7709792480.

It is an arithmetic number, because the mean of its divisors is an integer number (77954568055).

Almost surely, 2555105056004 is an apocalyptic number.

It is an amenable number.

555105056004 is an abundant number, since it is smaller than the sum of its proper divisors (848077168986).

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

555105056004 is a wasteful number, since it uses less digits than its factorization.

555105056004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419584899 (or 15419584894 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

Adding to 555105056004 its reverse (400650501555), we get a palindrome (955755557559).

The spelling of 555105056004 in words is "five hundred fifty-five billion, one hundred five million, fifty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 15419584889 30839169778 46258754667 61678339556 92517509334 138776264001 185035018668 277552528002 555105056004