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71623678149 = 321923181100613
BaseRepresentation
bin100001010110100011…
…0101001100011000101
320211212120120211120100
41002231012221203011
52133141130200044
652523051554313
75113621135122
oct1025506514305
9224776524510
1071623678149
1128414776541
1211a6a75b999
1369a5950a5a
143676511749
151ce2e3a869
hex10ad1a98c5

71623678149 has 48 divisors (see below), whose sum is σ = 114265307520. Its totient is φ = 43029740160.

The previous prime is 71623678117. The next prime is 71623678153. The reversal of 71623678149 is 94187632617.

71623678149 is a `hidden beast` number, since 7 + 1 + 623 + 6 + 7 + 8 + 1 + 4 + 9 = 666.

It is not a de Polignac number, because 71623678149 - 25 = 71623678117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71623678095 and 71623678104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71623678349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661567 + ... + 762179.

It is an arithmetic number, because the mean of its divisors is an integer number (2380527240).

Almost surely, 271623678149 is an apocalyptic number.

It is an amenable number.

71623678149 is a deficient number, since it is larger than the sum of its proper divisors (42641629371).

71623678149 is a wasteful number, since it uses less digits than its factorization.

71623678149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100842 (or 100839 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 71623678149 in words is "seventy-one billion, six hundred twenty-three million, six hundred seventy-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 19 23 57 69 171 181 207 437 543 1311 1629 3439 3933 4163 10317 12489 30951 37467 79097 100613 237291 301839 711873 905517 1911647 2314099 5734941 6942297 17204823 18210953 20826891 43967881 54632859 131903643 163898577 346008107 395710929 418851919 1038024321 1256555757 3114072963 3769667271 7958186461 23874559383 71623678149