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106431174669 = 33141111724989
BaseRepresentation
bin110001100011111001…
…0101101100000001101
3101011201101000212101010
41203013302231200031
53220432340042134
6120521021235433
710455315025611
oct1430762554015
9334641025333
10106431174669
1141156694896
1218763702b79
13a062013641
14521922b341
152b7db42ce9
hex18c7cad80d

106431174669 has 32 divisors (see below), whose sum is σ = 150199096320. Its totient is φ = 66927859200.

The previous prime is 106431174653. The next prime is 106431174673. The reversal of 106431174669 is 966471134601.

It is not a de Polignac number, because 106431174669 - 24 = 106431174653 is a prime.

It is a super-2 number, since 2×1064311746692 (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 (106431174679) 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, 4246627 + ... + 4271615.

It is an arithmetic number, because the mean of its divisors is an integer number (4693721760).

Almost surely, 2106431174669 is an apocalyptic number.

It is an amenable number.

106431174669 is a deficient number, since it is larger than the sum of its proper divisors (43767921651).

106431174669 is a wasteful number, since it uses less digits than its factorization.

106431174669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26181.

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 106431174669 in words is "one hundred six billion, four hundred thirty-one million, one hundred seventy-four thousand, six hundred sixty-nine".

Divisors: 1 3 31 41 93 123 1117 1271 3351 3813 24989 34627 45797 74967 103881 137391 774659 1024549 1419707 2323977 3073647 4259121 27912713 31761019 83738139 95283057 865294103 1144421233 2595882309 3433263699 35477058223 106431174669