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150048500160 = 26351347491521
BaseRepresentation
bin1000101110111110010…
…1100110100111000000
3112100022010201120120210
42023233211212213000
54424244404001120
6152533100034120
713561225131066
oct2135745464700
9470263646523
10150048500160
11586a9515029
12250b6b32940
13111c3630c90
147395db8036
153d82eaece0
hex22ef9669c0

150048500160 has 448 divisors, whose sum is σ = 526041298944. Its totient is φ = 36006297600.

The previous prime is 150048500143. The next prime is 150048500213. The reversal of 150048500160 is 61005840051.

150048500160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 288000700 + ... + 288001220.

It is an arithmetic number, because the mean of its divisors is an integer number (1174199328).

Almost surely, 2150048500160 is an apocalyptic number.

150048500160 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 150048500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263020649472).

150048500160 is an abundant number, since it is smaller than the sum of its proper divisors (375992798784).

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

150048500160 is a wasteful number, since it uses less digits than its factorization.

150048500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 150048500160 in words is "one hundred fifty billion, forty-eight million, five hundred thousand, one hundred sixty".