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150004194912 = 253211136595527
BaseRepresentation
bin1000101110110011110…
…0100101111001100000
3112100012001100122012200
42023230330211321200
54424202033214122
6152524434253200
713560146422215
oct2135474457140
9470161318180
10150004194912
1158686503920
12250a4127200
13111b73ba960
147390163b0c
153d7e15c5ac
hex22ecf25e60

150004194912 has 288 divisors, whose sum is σ = 502001660160. Its totient is φ = 41887964160.

The previous prime is 150004194881. The next prime is 150004194917. The reversal of 150004194912 is 219491400051.

It is a happy number.

150004194912 is a `hidden beast` number, since 150 + 0 + 0 + 4 + 19 + 491 + 2 = 666.

150004194912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150004194917) by changing a digit.

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, 27137493 + ... + 27143019.

It is an arithmetic number, because the mean of its divisors is an integer number (1743061320).

Almost surely, 2150004194912 is an apocalyptic number.

150004194912 is a gapful number since it is divisible by the number (12) 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 150004194912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251000830080).

150004194912 is an abundant number, since it is smaller than the sum of its proper divisors (351997465248).

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

150004194912 is a wasteful number, since it uses less digits than its factorization.

150004194912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 150004194912 its reverse (219491400051), we get a palindrome (369495594963).

The spelling of 150004194912 in words is "one hundred fifty billion, four million, one hundred ninety-four thousand, nine hundred twelve".