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106894430433 = 3373361168277
BaseRepresentation
bin110001110001101100…
…1111001000011100001
3101012220122201200211000
41203203121321003201
53222404433233213
6121035010342213
710502641444530
oct1434331710341
9335818650730
10106894430433
114137413479a
121887288a969
13a106ca1a8b
14526097a317
152ba964dc73
hex18e36790e1

106894430433 has 32 divisors (see below), whose sum is σ = 181040203520. Its totient is φ = 61063994880.

The previous prime is 106894430417. The next prime is 106894430453. The reversal of 106894430433 is 334034498601.

106894430433 is a `hidden beast` number, since 106 + 89 + 4 + 4 + 30 + 433 = 666.

It is not a de Polignac number, because 106894430433 - 24 = 106894430417 is a prime.

It is a super-2 number, since 2×1068944304332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106894430453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551091 + ... + 719367.

It is an arithmetic number, because the mean of its divisors is an integer number (5657506360).

Almost surely, 2106894430433 is an apocalyptic number.

It is an amenable number.

106894430433 is a deficient number, since it is larger than the sum of its proper divisors (74145773087).

106894430433 is a wasteful number, since it uses less digits than its factorization.

106894430433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171654 (or 171648 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 106894430433 in words is "one hundred six billion, eight hundred ninety-four million, four hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 3361 10083 23527 30249 70581 90747 168277 211743 504831 635229 1177939 1514493 3533817 4543479 10601451 31804353 565578997 1696736991 3959052979 5090210973 11877158937 15270632919 35631476811 106894430433