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71071305066 = 23323270721139
BaseRepresentation
bin100001000110000101…
…1100000110101101010
320210110002012101011000
41002030023200311222
52131023223230231
652352200415430
75064133061016
oct1021413406552
9223402171130
1071071305066
1128160998463
1211935777576
13691838c388
143623005546
151cae6c96e6
hex108c2e0d6a

71071305066 has 64 divisors (see below), whose sum is σ = 164871705600. Its totient is φ = 22650973488.

The previous prime is 71071305061. The next prime is 71071305083. The reversal of 71071305066 is 66050317017.

71071305066 is a `hidden beast` number, since 7 + 10 + 7 + 130 + 506 + 6 = 666.

It is a super-2 number, since 2×710713050662 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71071305066.

It is not an unprimeable number, because it can be changed into a prime (71071305061) 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, 3351525 + ... + 3372663.

It is an arithmetic number, because the mean of its divisors is an integer number (2576120400).

Almost surely, 271071305066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71071305066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82435852800).

71071305066 is an abundant number, since it is smaller than the sum of its proper divisors (93800400534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71071305066 is a wasteful number, since it uses less digits than its factorization.

71071305066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23880 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 71071305066 in words is "seventy-one billion, seventy-one million, three hundred five thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 2707 5414 8121 16242 21139 24363 42278 48726 62261 63417 73089 124522 126834 146178 186783 190251 373566 380502 486197 560349 570753 972394 1120698 1141506 1458591 1681047 2917182 3362094 4375773 8751546 13127319 26254638 57223273 114446546 171669819 343339638 515009457 1030018914 1316135279 1545028371 2632270558 3090056742 3948405837 7896811674 11845217511 23690435022 35535652533 71071305066