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147348523008 = 2113429109281
BaseRepresentation
bin1000100100111010101…
…0000000100000000000
3112002022222020112020000
42021032222000200000
54403232210214013
6151405130120000
713434301531431
oct2111652004000
9462288215200
10147348523008
1157543444255
1224682880000
1310b83154a6b
1471bb58d488
153c75e31973
hex224ea80800

147348523008 has 480 divisors, whose sum is σ = 461107647000. Its totient is φ = 46820229120.

The previous prime is 147348523001. The next prime is 147348523051. The reversal of 147348523008 is 800325843741.

147348523008 is a `hidden beast` number, since 14 + 73 + 48 + 523 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142122968064 + 5225554944 = 376992^2 + 72288^2 .

It is not an unprimeable number, because it can be changed into a prime (147348523001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524371828 + ... + 524372108.

Almost surely, 2147348523008 is an apocalyptic number.

147348523008 is a gapful number since it is divisible by the number (18) 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 147348523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230553823500).

147348523008 is an abundant number, since it is smaller than the sum of its proper divisors (313759123992).

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

147348523008 is a wasteful number, since it uses less digits than its factorization.

147348523008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 147348523008 in words is "one hundred forty-seven billion, three hundred forty-eight million, five hundred twenty-three thousand, eight".