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148425897600 = 27325229712503
BaseRepresentation
bin1000101000111011011…
…1110111011010000000
3112012010001111211022200
42022032313313122000
54412434012210400
6152104054033200
713503063212301
oct2121667673200
9465101454280
10148425897600
1157a46605782
1224923648800
1310cc5413316
1472806bc7a8
153cda7e8b00
hex228edf7680

148425897600 has 576 divisors, whose sum is σ = 555818889600. Its totient is φ = 37662105600.

The previous prime is 148425897583. The next prime is 148425897619. The reversal of 148425897600 is 6798524841.

It is a happy number.

148425897600 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 25 + 8 + 9 + 7 + 600 = 666.

148425897600 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 (576).

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 71 ways as a sum of consecutive naturals, for example, 59297949 + ... + 59300451.

It is an arithmetic number, because the mean of its divisors is an integer number (964963350).

Almost surely, 2148425897600 is an apocalyptic number.

148425897600 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 148425897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277909444800).

148425897600 is an abundant number, since it is smaller than the sum of its proper divisors (407392992000).

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

148425897600 is a wasteful number, since it uses less digits than its factorization.

148425897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 148425897600 in words is "one hundred forty-eight billion, four hundred twenty-five million, eight hundred ninety-seven thousand, six hundred".