Search a number
-
+
42500178238266 = 232773145115712027
BaseRepresentation
bin10011010100111010110000…
…00001101101101100111010
312120110222101111101000110100
421222131120001231230322
521032310331112111031
6230220151244500230
711644352015321310
oct1152353001555472
9176428344330410
1042500178238266
11125a6251702401
12492499b84a676
131a93998b84918
14a6d03bb080b0
154da7d92d8de6
hex26a75806db3a

42500178238266 has 192 divisors, whose sum is σ = 106874334268416. Its totient is φ = 11954793888000.

The previous prime is 42500178238249. The next prime is 42500178238303. The reversal of 42500178238266 is 66283287100524.

42500178238266 is a `hidden beast` number, since 4 + 2 + 500 + 1 + 7 + 82 + 38 + 26 + 6 = 666.

42500178238266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20967033145 + ... + 20967035171.

It is an arithmetic number, because the mean of its divisors is an integer number (556637157648).

Almost surely, 242500178238266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42500178238266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53437167134208).

42500178238266 is an abundant number, since it is smaller than the sum of its proper divisors (64374156030150).

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

42500178238266 is a wasteful number, since it uses less digits than its factorization.

42500178238266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42500178238266 in words is "forty-two trillion, five hundred billion, one hundred seventy-eight million, two hundred thirty-eight thousand, two hundred sixty-six".