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147825231960 = 233571753195319
BaseRepresentation
bin1000100110101100010…
…0100000100001011000
3112010120012020211222010
42021223010200201120
54410221224410320
6151524315425520
713452150511440
oct2115304404130
9463505224863
10147825231960
115776854279a
12247964552a0
1310c2ab43773
147224a01120
153ca2be8ae0
hex226b120858

147825231960 has 256 divisors, whose sum is σ = 546770995200. Its totient is φ = 31200878592.

The previous prime is 147825231937. The next prime is 147825231971. The reversal of 147825231960 is 69132528741.

147825231960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659181 + ... + 854499.

It is an arithmetic number, because the mean of its divisors is an integer number (2135824200).

It is a 1-persistent number, because it is pandigital, but 2⋅147825231960 = 295650463920 is not.

Almost surely, 2147825231960 is an apocalyptic number.

147825231960 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 147825231960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273385497600).

147825231960 is an abundant number, since it is smaller than the sum of its proper divisors (398945763240).

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

147825231960 is a wasteful number, since it uses less digits than its factorization.

147825231960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195410 (or 195406 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 147825231960 in words is "one hundred forty-seven billion, eight hundred twenty-five million, two hundred thirty-one thousand, nine hundred sixty".