Search a number
-
+
542236442326560 = 2534550383179387
BaseRepresentation
bin111101101001010010100001…
…0100001110111011000100000
32122002220022000222022012020000
41323102211002201313120200
51032033000213213422220
65201123552134420000
7222133201345240512
oct17322450241673040
92562808028265200
10542236442326560
11147856202689183
125099507b501600
131a3738a57b3907
1497c8553381bb2
1542a4c33053390
hex1ed2942877620

542236442326560 has 240 divisors, whose sum is σ = 1917447259565376. Its totient is φ = 144308914924032.

The previous prime is 542236442326499. The next prime is 542236442326561. The reversal of 542236442326560 is 65623244632245.

542236442326560 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 3 + 6 + 4 + 42 + 32 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 542236442326497 and 542236442326506.

It is not an unprimeable number, because it can be changed into a prime (542236442326561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35070814 + ... + 48108573.

Almost surely, 2542236442326560 is an apocalyptic number.

It is an amenable number.

542236442326560 is an abundant number, since it is smaller than the sum of its proper divisors (1375210817238816).

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

542236442326560 is a wasteful number, since it uses less digits than its factorization.

542236442326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83179917 (or 83179900 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 542236442326560 in words is "five hundred forty-two trillion, two hundred thirty-six billion, four hundred forty-two million, three hundred twenty-six thousand, five hundred sixty".