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147981212064 = 2534722940177
BaseRepresentation
bin1000100111010001011…
…1100001100110100000
3112010222001202110110000
42021310113201212200
54411031142241224
6151552010540000
713456053356100
oct2116427414640
9463861673400
10147981212064
1157838599974
122481a737600
1310c5425759a
14723b605200
153cb175a0c9
hex22745e19a0

147981212064 has 360 divisors, whose sum is σ = 523733488740. Its totient is φ = 40821387264.

The previous prime is 147981212059. The next prime is 147981212081. The reversal of 147981212064 is 460212189741.

147981212064 is a `hidden beast` number, since 1 + 479 + 81 + 21 + 20 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136293872400 + 11687339664 = 369180^2 + 108108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3663144 + ... + 3703320.

Almost surely, 2147981212064 is an apocalyptic number.

147981212064 is a gapful number since it is divisible by the number (14) 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 147981212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261866744370).

147981212064 is an abundant number, since it is smaller than the sum of its proper divisors (375752276676).

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

147981212064 is a wasteful number, since it uses less digits than its factorization.

147981212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40242 (or 40218 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 147981212064 in words is "one hundred forty-seven billion, nine hundred eighty-one million, two hundred twelve thousand, sixty-four".