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147801139200 = 211325211132243
BaseRepresentation
bin1000100110100110100…
…0100110100000000000
3112010111111220210220200
42021221220212200000
54410144042423300
6151522055205200
713451435645241
oct2115150464000
9463444823820
10147801139200
1157755987520
122478a376800
1310c25b594b0
14722172ccc8
153ca0a3a200
hex2269a26800

147801139200 has 864 divisors, whose sum is σ = 622144242720. Its totient is φ = 33059635200.

The previous prime is 147801139151. The next prime is 147801139223. The reversal of 147801139200 is 2931108741.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65893279 + ... + 65895521.

It is an arithmetic number, because the mean of its divisors is an integer number (720074355).

Almost surely, 2147801139200 is an apocalyptic number.

147801139200 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 147801139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311072121360).

147801139200 is an abundant number, since it is smaller than the sum of its proper divisors (474343103520).

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

147801139200 is a wasteful number, since it uses less digits than its factorization.

147801139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 147801139200 in words is "one hundred forty-seven billion, eight hundred one million, one hundred thirty-nine thousand, two hundred".