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152730544512 = 27372134197157
BaseRepresentation
bin1000111000111101110…
…0110010100110000000
3112121020001110112202210
42032033130302212000
510000243004411022
6154055145342120
714014543131300
oct2161734624600
9477201415683
10152730544512
1159855457707
1225725197940
131153019b980
14756c295600
153e8d699a0c
hex238f732980

152730544512 has 768 divisors, whose sum is σ = 529340978880. Its totient is φ = 38645268480.

The previous prime is 152730544423. The next prime is 152730544513. The reversal of 152730544512 is 215445037251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152730544513) 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 95 ways as a sum of consecutive naturals, for example, 972805938 + ... + 972806094.

Almost surely, 2152730544512 is an apocalyptic number.

152730544512 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 152730544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670489440).

152730544512 is an abundant number, since it is smaller than the sum of its proper divisors (376610434368).

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

152730544512 is a wasteful number, since it uses less digits than its factorization.

152730544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 152730544512 in words is "one hundred fifty-two billion, seven hundred thirty million, five hundred forty-four thousand, five hundred twelve".