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150323668992 = 211337478263
BaseRepresentation
bin1000101111111111111…
…1010010100000000000
3112101000022111121021000
42023333333102200000
54430330324401432
6153020245532000
713601106050430
oct2137777224000
9471008447230
10150323668992
115882a879492
1225173114000
1311238646683
1473c07662c0
153d9c21657c
hex22fffd2800

150323668992 has 384 divisors, whose sum is σ = 519798988800. Its totient is φ = 42030710784.

The previous prime is 150323668981. The next prime is 150323668993. The reversal of 150323668992 is 299866323051.

150323668992 is a `hidden beast` number, since 150 + 323 + 6 + 6 + 89 + 92 = 666.

150323668992 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150323668993) 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 31 ways as a sum of consecutive naturals, for example, 18188253 + ... + 18196515.

It is an arithmetic number, because the mean of its divisors is an integer number (1353643200).

Almost surely, 2150323668992 is an apocalyptic number.

150323668992 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 150323668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259899494400).

150323668992 is an abundant number, since it is smaller than the sum of its proper divisors (369475319808).

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

150323668992 is an equidigital number, since it uses as much as digits as its factorization.

150323668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 150323668992 in words is "one hundred fifty billion, three hundred twenty-three million, six hundred sixty-eight thousand, nine hundred ninety-two".