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148543216200 = 233352431095869
BaseRepresentation
bin1000101001010111011…
…1011001101001001000
3112012102020021020012000
42022111313121221020
54413204030404300
6152123444351000
713506016335111
oct2122567315110
9465366236160
10148543216200
1157aa68559a5
12249569a5460
131101380b902
1472920db208
153ce5c6ec00
hex2295dd9a48

148543216200 has 384 divisors, whose sum is σ = 528440880000. Its totient is φ = 38328837120.

The previous prime is 148543216163. The next prime is 148543216207. The reversal of 148543216200 is 2612345841.

It is a happy number.

148543216200 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 4 + 3 + 21 + 620 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148543216207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25306866 + ... + 25312734.

It is an arithmetic number, because the mean of its divisors is an integer number (1376148125).

Almost surely, 2148543216200 is an apocalyptic number.

148543216200 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 148543216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264220440000).

148543216200 is an abundant number, since it is smaller than the sum of its proper divisors (379897663800).

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

148543216200 is a wasteful number, since it uses less digits than its factorization.

148543216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 148543216200 in words is "one hundred forty-eight billion, five hundred forty-three million, two hundred sixteen thousand, two hundred".