Search a number
-
+
42659046000 = 24325312718661
BaseRepresentation
bin100111101110101011…
…010110001001110000
311002002222112001212200
4213232223112021300
51144331203433000
631333003223200
73040062623334
oct475653261160
9132088461780
1042659046000
1117100a1271a
128326517b00
13403ac2a16c
1420c97bd7c4
15119a17c500
hex9eead6270

42659046000 has 240 divisors, whose sum is σ = 150175054848. Its totient is φ = 11285568000.

The previous prime is 42659045987. The next prime is 42659046037. The reversal of 42659046000 is 64095624.

42659046000 is a `hidden beast` number, since 4 + 2 + 6 + 590 + 4 + 60 + 0 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2276670 + ... + 2295330.

Almost surely, 242659046000 is an apocalyptic number.

42659046000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42659046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75087527424).

42659046000 is an abundant number, since it is smaller than the sum of its proper divisors (107516008848).

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

42659046000 is a wasteful number, since it uses less digits than its factorization.

42659046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18817 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42659046000 in words is "forty-two billion, six hundred fifty-nine million, forty-six thousand".