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106666780007 = 17191979166871
BaseRepresentation
bin110001101010111010…
…1011110010101100111
3101012022210100212010202
41203111311132111213
53221423143430012
6121000235141115
710464205445624
oct1432565362547
9335283325122
10106666780007
1141267686647
121880a5a479b
13a09ba86098
14523c63b34b
152b94681cc2
hex18d5d5e567

106666780007 has 16 divisors (see below), whose sum is σ = 118946361600. Its totient is φ = 95059831680.

The previous prime is 106666779997. The next prime is 106666780009. The reversal of 106666780007 is 700087666601.

It is a cyclic number.

It is not a de Polignac number, because 106666780007 - 212 = 106666775911 is a prime.

It is a super-2 number, since 2×1066667800072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666780009) 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, 555782 + ... + 722652.

It is an arithmetic number, because the mean of its divisors is an integer number (7434147600).

Almost surely, 2106666780007 is an apocalyptic number.

106666780007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106666780007 is a deficient number, since it is larger than the sum of its proper divisors (12279581593).

106666780007 is a wasteful number, since it uses less digits than its factorization.

106666780007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168886.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 106666780007 in words is "one hundred six billion, six hundred sixty-six million, seven hundred eighty thousand, seven".

Divisors: 1 17 19 323 1979 33643 37601 166871 639217 2836807 3170549 53899333 330237709 5614041053 6274516471 106666780007