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147640163328 = 21032719235237
BaseRepresentation
bin1000100110000000001…
…0100001110000000000
3112010002022000101112100
42021200002201300000
54404331340211303
6151454105030400
713444442452650
oct2114002416000
9463068011470
10147640163328
1157683028a09
1224744485400
1310bcb6b67b8
1472081c8360
153c9183d8a3
hex22600a1c00

147640163328 has 528 divisors, whose sum is σ = 535251525120. Its totient is φ = 38217940992.

The previous prime is 147640163287. The next prime is 147640163357. The reversal of 147640163328 is 823361046741.

147640163328 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 4 + 0 + 1 + 633 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28189126 + ... + 28194362.

Almost surely, 2147640163328 is an apocalyptic number.

147640163328 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 147640163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267625762560).

147640163328 is an abundant number, since it is smaller than the sum of its proper divisors (387611361792).

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

147640163328 is a wasteful number, since it uses less digits than its factorization.

147640163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 147640163328 in words is "one hundred forty-seven billion, six hundred forty million, one hundred sixty-three thousand, three hundred twenty-eight".