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107724875329 = 3717401167317
BaseRepresentation
bin110010001010011100…
…1110010011001000001
3101022001112100200001101
41210110321302121001
53231110032002304
6121253233534401
710532344221631
oct1442471623101
9338045320041
10107724875329
114175a97a295
1218a64a14401
13a20a0542a6
1452dcd8c6c1
152c074db8a4
hex1914e72641

107724875329 has 8 divisors (see below), whose sum is σ = 110643377768. Its totient is φ = 104806742400.

The previous prime is 107724875309. The next prime is 107724875333. The reversal of 107724875329 is 923578427701.

It can be written as a sum of positive squares in 4 ways, for example, as 80387559729 + 27337315600 = 283527^2 + 165340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107724875329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107724875329.

It is not an unprimeable number, because it can be changed into a prime (107724875309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560179 + ... + 727495.

It is an arithmetic number, because the mean of its divisors is an integer number (13830422221).

Almost surely, 2107724875329 is an apocalyptic number.

It is an amenable number.

107724875329 is a deficient number, since it is larger than the sum of its proper divisors (2918502439).

107724875329 is a wasteful number, since it uses less digits than its factorization.

107724875329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184755.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 107724875329 in words is "one hundred seven billion, seven hundred twenty-four million, eight hundred seventy-five thousand, three hundred twenty-nine".

Divisors: 1 37 17401 167317 643837 6190729 2911483117 107724875329