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20197347107328 = 29343771892083
BaseRepresentation
bin1001001011110100011111…
…01100110010001000000000
32122111211212211212021120000
410211322033230302020000
510121403131324413303
6110542311055320000
74153132042531626
oct445721754621000
978454784767500
1020197347107328
116487712997756
12232246a820000
13b367a8b01021
144db7b1c8d516
152505a547cda3
hex125e8fb32200

20197347107328 has 800 divisors, whose sum is σ = 63520999217280. Its totient is φ = 6382600519680.

The previous prime is 20197347107321. The next prime is 20197347107347. The reversal of 20197347107328 is 82370174379102.

20197347107328 is a `hidden beast` number, since 2 + 0 + 19 + 73 + 471 + 0 + 73 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20197347107321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9696276975 + ... + 9696279057.

Almost surely, 220197347107328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20197347107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31760499608640).

20197347107328 is an abundant number, since it is smaller than the sum of its proper divisors (43323652109952).

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

20197347107328 is an equidigital number, since it uses as much as digits as its factorization.

20197347107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 20197347107328 in words is "twenty trillion, one hundred ninety-seven billion, three hundred forty-seven million, one hundred seven thousand, three hundred twenty-eight".