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106436513673 = 347271692689
BaseRepresentation
bin110001100100000011…
…1000100111110001001
3101011201202002010010000
41203020013010332021
53220440221414143
6120521331513213
710455411303330
oct1431007047611
9334652063100
10106436513673
1141159701096
1218765458809
13a063162809
145219c1ad17
152b7e349bd3
hex18c81c4f89

106436513673 has 40 divisors (see below), whose sum is σ = 182382506240. Its totient is φ = 60596346240.

The previous prime is 106436513669. The next prime is 106436513731. The reversal of 106436513673 is 376315634601.

106436513673 is a `hidden beast` number, since 1 + 0 + 64 + 3 + 6 + 513 + 6 + 73 = 666.

It is not a de Polignac number, because 106436513673 - 22 = 106436513669 is a prime.

It is a super-2 number, since 2×1064365136732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106436503673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192688 + ... + 500001.

It is an arithmetic number, because the mean of its divisors is an integer number (4559562656).

Almost surely, 2106436513673 is an apocalyptic number.

It is an amenable number.

106436513673 is a deficient number, since it is larger than the sum of its proper divisors (75945992567).

106436513673 is an equidigital number, since it uses as much as digits as its factorization.

106436513673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692979 (or 692970 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 106436513673 in words is "one hundred six billion, four hundred thirty-six million, five hundred thirteen thousand, six hundred seventy-three".

Divisors: 1 3 7 9 21 27 63 81 189 271 567 813 1897 2439 5691 7317 17073 21951 51219 153657 692689 2078067 4848823 6234201 14546469 18702603 43639407 56107809 130918221 187718719 392754663 563156157 1314031033 1689468471 3942093099 5068405413 11826279297 15205216239 35478837891 106436513673