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1129908150000 = 24335572192931
BaseRepresentation
bin10000011100010011110…
…001100001111011110000
311000000111020112012121000
4100130103301201323300
5122003022441300000
62223023405002000
7144430114544100
oct20342361417360
94000436465530
101129908150000
113a621176a833
12162b97b53300
138271c121356
143c98b643200
151e5d14d5000
hex10713c61ef0

1129908150000 has 2880 divisors, whose sum is σ = 5300660736000. Its totient is φ = 228614400000.

The previous prime is 1129908149939. The next prime is 1129908150001. The reversal of 1129908150000 is 518099211.

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 (1129908150001) 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 575 ways as a sum of consecutive naturals, for example, 36448649985 + ... + 36448650015.

It is an arithmetic number, because the mean of its divisors is an integer number (1840507200).

Almost surely, 21129908150000 is an apocalyptic number.

1129908150000 is a gapful number since it is divisible by the number (10) 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 1129908150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650330368000).

1129908150000 is an abundant number, since it is smaller than the sum of its proper divisors (4170752586000).

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

1129908150000 is a wasteful number, since it uses less digits than its factorization.

1129908150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 1129908150000 in words is "one trillion, one hundred twenty-nine billion, nine hundred eight million, one hundred fifty thousand".