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29361827061 = 3271925324359
BaseRepresentation
bin11011010110000110…
…011110110011110101
32210210021110100200100
4123112012132303311
5440113111431221
621253313504313
72056420261230
oct332606366365
983707410610
1029361827061
11114a7a93286
125835272099
1329cc0c2488
1415c77a6417
15b6caba926
hex6d619ecf5

29361827061 has 72 divisors (see below), whose sum is σ = 52122994560. Its totient is φ = 15594576192.

The previous prime is 29361827003. The next prime is 29361827081. The reversal of 29361827061 is 16072816392.

29361827061 is a `hidden beast` number, since 2 + 9 + 3 + 618 + 27 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 29361827061 - 222 = 29357632757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29361826998 and 29361827016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29361827081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1193200 + ... + 1217558.

It is an arithmetic number, because the mean of its divisors is an integer number (723930480).

Almost surely, 229361827061 is an apocalyptic number.

29361827061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29361827061 is a deficient number, since it is larger than the sum of its proper divisors (22761167499).

29361827061 is a wasteful number, since it uses less digits than its factorization.

29361827061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24463 (or 24441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 29361827061 in words is "twenty-nine billion, three hundred sixty-one million, eight hundred twenty-seven thousand, sixty-one".

Divisors: 1 3 7 9 19 21 53 57 63 133 159 171 361 371 399 477 1007 1083 1113 1197 2527 3021 3249 3339 7049 7581 9063 19133 21147 22743 24359 57399 63441 73077 133931 170513 172197 219231 401793 462821 511539 1205379 1291027 1388463 1534617 3239747 3873081 4165389 8793599 9037189 9719241 11619243 24529513 26380797 27111567 29157723 61555193 73588539 79142391 81334701 171706591 184665579 220765617 466060747 515119773 553996737 1398182241 1545359319 3262425229 4194546723 9787275687 29361827061