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107485870817 = 1397157542921
BaseRepresentation
bin110010000011010101…
…0000011101011100001
3101021102212121222111102
41210012222003223201
53230112340331232
6121213415124145
710523412553523
oct1440652035341
9337385558442
10107485870817
1141647a766a6
12189b8973655
13a19c6915c0
1452b9335a13
152be152a662
hex1906a83ae1

107485870817 has 16 divisors (see below), whose sum is σ = 117692459472. Its totient is φ = 97569239040.

The previous prime is 107485870771. The next prime is 107485870829. The reversal of 107485870817 is 718078584701.

It can be written as a sum of positive squares in 8 ways, for example, as 33686416 + 107452184401 = 5804^2 + 327799^2 .

It is not a de Polignac number, because 107485870817 - 210 = 107485869793 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107485870837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73484 + ... + 469437.

It is an arithmetic number, because the mean of its divisors is an integer number (7355778717).

Almost surely, 2107485870817 is an apocalyptic number.

It is an amenable number.

107485870817 is a deficient number, since it is larger than the sum of its proper divisors (10206588655).

107485870817 is a wasteful number, since it uses less digits than its factorization.

107485870817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543188.

The product of its (nonzero) digits is 3512320, while the sum is 56.

The spelling of 107485870817 in words is "one hundred seven billion, four hundred eighty-five million, eight hundred seventy thousand, eight hundred seventeen".

Divisors: 1 13 97 157 1261 2041 15229 197977 542921 7057973 52663337 85238597 684623381 1108101761 8268143909 107485870817