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105990527999 = 475342549389
BaseRepresentation
bin110001010110110000…
…1110001101111111111
3101010120122212200210002
41202231201301233333
53214032033343444
6120405200504515
710441354423466
oct1425541615777
9333518780702
10105990527999
1140a4a987494
121866001b13b
139cc1940075
1451b68c59dd
152b55100d4e
hex18ad871bff

105990527999 has 8 divisors (see below), whose sum is σ = 110288018880. Its totient is φ = 101778136096.

The previous prime is 105990527977. The next prime is 105990528047. The reversal of 105990527999 is 999725099501.

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-105990527999 is a prime.

It is a super-2 number, since 2×1059905279992 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105990527969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21272204 + ... + 21277185.

It is an arithmetic number, because the mean of its divisors is an integer number (13786002360).

Almost surely, 2105990527999 is an apocalyptic number.

105990527999 is a deficient number, since it is larger than the sum of its proper divisors (4297490881).

105990527999 is an equidigital number, since it uses as much as digits as its factorization.

105990527999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42549489.

The product of its (nonzero) digits is 20667150, while the sum is 65.

The spelling of 105990527999 in words is "one hundred five billion, nine hundred ninety million, five hundred twenty-seven thousand, nine hundred ninety-nine".

Divisors: 1 47 53 2491 42549389 1999821283 2255117617 105990527999