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148805007120 = 24335731119312
BaseRepresentation
bin1000101010010101111…
…0000011011100010000
3112020002110212120211000
42022211132003130100
54414223040211440
6152205435422000
713515345456000
oct2124536033420
9466073776730
10148805007120
1158120602330
1224a0a5b4900
1311055b1c093
1472b8ba6000
153d0dc32730
hex22a5783710

148805007120 has 1920 divisors, whose sum is σ = 709240320000. Its totient is φ = 28348185600.

The previous prime is 148805007077. The next prime is 148805007157. The reversal of 148805007120 is 21700508841.

148805007120 is a `hidden beast` number, since 1 + 4 + 8 + 80 + 500 + 71 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4800161505 + ... + 4800161535.

It is an arithmetic number, because the mean of its divisors is an integer number (369396000).

Almost surely, 2148805007120 is an apocalyptic number.

148805007120 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 148805007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354620160000).

148805007120 is an abundant number, since it is smaller than the sum of its proper divisors (560435312880).

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

148805007120 is a wasteful number, since it uses less digits than its factorization.

148805007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 148805007120 in words is "one hundred forty-eight billion, eight hundred five million, seven thousand, one hundred twenty".