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106892174813 = 1724435771447
BaseRepresentation
bin110001110001101000…
…1010010010111011101
3101012220111111002200112
41203203101102113131
53222403344043223
6121034450135405
710502613331424
oct1434321222735
9335814432615
10106892174813
1141372934046
1218871b81565
13a1066921a8
1452605502bb
152ba9355778
hex18e34525dd

106892174813 has 24 divisors (see below), whose sum is σ = 114082162752. Its totient is φ = 100134088704.

The previous prime is 106892174761. The next prime is 106892174887. The reversal of 106892174813 is 318471298601.

It is a happy number.

It is not a de Polignac number, because 106892174813 - 26 = 106892174749 is a prime.

It is a super-2 number, since 2×1068921748132 (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 (106892176813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73870856 + ... + 73872302.

It is an arithmetic number, because the mean of its divisors is an integer number (4753423448).

Almost surely, 2106892174813 is an apocalyptic number.

It is an amenable number.

106892174813 is a deficient number, since it is larger than the sum of its proper divisors (7189987939).

106892174813 is a wasteful number, since it uses less digits than its factorization.

106892174813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 106892174813 in words is "one hundred six billion, eight hundred ninety-two million, one hundred seventy-four thousand, eight hundred thirteen".

Divisors: 1 17 289 443 577 1447 7531 9809 24599 128027 166753 255611 418183 641021 834919 4345387 10897357 14193623 73871579 185255069 241291591 369869117 6287774989 106892174813