Search a number
-
+
554311200225042 = 232133764023007649
BaseRepresentation
bin111111000001001001010001…
…0001011110011011100010010
32200200122122002121120000121100
41332002102202023303130102
51040123313314224200132
65242531014442005230
7224520443166023031
oct17602224213633422
92620578077500540
10554311200225042
11150691072733657
12522052834a6816
131aa3b425271190
149ac4b3b816718
154413d8e11737c
hex1f824a22f3712

554311200225042 has 48 divisors (see below), whose sum is σ = 1328349362722200. Its totient is φ = 165947635823616.

The previous prime is 554311200225031. The next prime is 554311200225047. The reversal of 554311200225042 is 240522002113455.

554311200225042 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 1 + 120 + 0 + 22 + 504 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475470279488961 + 78840920736081 = 21805281^2 + 8879241^2 .

It is a junction number, because it is equal to n+sod(n) for n = 554311200224988 and 554311200225006.

It is not an unprimeable number, because it can be changed into a prime (554311200225047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32011495167 + ... + 32011512482.

Almost surely, 2554311200225042 is an apocalyptic number.

554311200225042 is an abundant number, since it is smaller than the sum of its proper divisors (774038162497158).

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

554311200225042 is a wasteful number, since it uses less digits than its factorization.

554311200225042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64023007707 (or 64023007704 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 554311200225042 its reverse (240522002113455), we get a palindrome (794833202338497).

The spelling of 554311200225042 in words is "five hundred fifty-four trillion, three hundred eleven billion, two hundred million, two hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 64023007649 128046015298 192069022947 384138045894 576207068841 832299099437 1152414137682 1664598198874 2368851283013 2496897298311 4737702566026 4993794596622 7106553849039 7490691894933 14213107698078 14981383789866 21319661547117 30795066679169 42639323094234 61590133358338 92385200037507 184770400075014 277155600112521 554311200225042