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150115204512 = 253271323161233
BaseRepresentation
bin1000101111001110010…
…0000011110110100000
3112100110210020111202100
42023303210003312200
54424413443021022
6152543441450400
713562665120320
oct2136344036640
9470423214670
10150115204512
1158733134a99
1225115340a00
13112043b7700
1473a0bbd280
153d88c891ac
hex22f3903da0

150115204512 has 864 divisors, whose sum is σ = 556650372096. Its totient is φ = 37523865600.

The previous prime is 150115204511. The next prime is 150115204553. The reversal of 150115204512 is 215402511051.

It is a happy number.

150115204512 is a `hidden beast` number, since 1 + 501 + 152 + 0 + 4 + 5 + 1 + 2 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is not an unprimeable number, because it can be changed into a prime (150115204511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 644271148 + ... + 644271380.

It is an arithmetic number, because the mean of its divisors is an integer number (644271264).

Almost surely, 2150115204512 is an apocalyptic number.

150115204512 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 150115204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278325186048).

150115204512 is an abundant number, since it is smaller than the sum of its proper divisors (406535167584).

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

150115204512 is a wasteful number, since it uses less digits than its factorization.

150115204512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 150115204512 its reverse (215402511051), we get a palindrome (365517715563).

The spelling of 150115204512 in words is "one hundred fifty billion, one hundred fifteen million, two hundred four thousand, five hundred twelve".