Search a number
-
+
542540344032 = 25332299912767
BaseRepresentation
bin1111110010100011110…
…11001010101011100000
31220212101120101002122000
413321101323022223200
532342110312002112
61053123430244000
754124440556101
oct7712173125340
91825346332560
10542540344032
1119a0a9975615
12891937b6600
133c2135b6a8b
141c38ad443a8
15e1a56647dc
hex7e51ecaae0

542540344032 has 192 divisors, whose sum is σ = 1591498137600. Its totient is φ = 179810357760.

The previous prime is 542540344019. The next prime is 542540344067. The reversal of 542540344032 is 230443045245.

542540344032 is a `hidden beast` number, since 5 + 42 + 540 + 3 + 4 + 40 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196073913 + ... + 196076679.

It is an arithmetic number, because the mean of its divisors is an integer number (8289052800).

Almost surely, 2542540344032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542540344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795749068800).

542540344032 is an abundant number, since it is smaller than the sum of its proper divisors (1048957793568).

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

542540344032 is a wasteful number, since it uses less digits than its factorization.

542540344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 542540344032 its reverse (230443045245), we get a palindrome (772983389277).

The spelling of 542540344032 in words is "five hundred forty-two billion, five hundred forty million, three hundred forty-four thousand, thirty-two".