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106675525413 = 3219760166681
BaseRepresentation
bin110001101011001011…
…0110101011100100101
3101012100101211011120200
41203112112311130211
53221432413303123
6121001150421113
710464343001502
oct1432626653445
9335311734520
10106675525413
114127160a156
1218811501799
13a0a0828892
14523d8764a9
152b9530d143
hex18d65b5725

106675525413 has 12 divisors (see below), whose sum is σ = 154869039468. Its totient is φ = 70756015680.

The previous prime is 106675525393. The next prime is 106675525447. The reversal of 106675525413 is 314525576601.

106675525413 is a `hidden beast` number, since 10 + 6 + 6 + 75 + 525 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104686543809 + 1988981604 = 323553^2 + 44598^2 .

It is not a de Polignac number, because 106675525413 - 25 = 106675525381 is a prime.

It is a super-2 number, since 2×1066755254132 (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 (106675525493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30081568 + ... + 30085113.

It is an arithmetic number, because the mean of its divisors is an integer number (12905753289).

Almost surely, 2106675525413 is an apocalyptic number.

It is an amenable number.

106675525413 is a deficient number, since it is larger than the sum of its proper divisors (48193514055).

106675525413 is a wasteful number, since it uses less digits than its factorization.

106675525413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60166884 (or 60166881 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 106675525413 in words is "one hundred six billion, six hundred seventy-five million, five hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 3 9 197 591 1773 60166681 180500043 541500129 11852836157 35558508471 106675525413