Search a number
-
+
71261258220708 = 223193673533241051
BaseRepresentation
bin10000001100111111001101…
…111110111000010010100100
3100100022111202121110220212020
4100030333031332320102210
533320021024101030313
6411320545312223140
721003312260435523
oct2014771576702244
9310274677426766
1071261258220708
11207848035410a6
127baaaab23aab0
13309bba561918a
1413850c59aa4ba
15838a07620323
hex40cfcdfb84a4

71261258220708 has 96 divisors (see below), whose sum is σ = 175554970429440. Its totient is φ = 22435792387200.

The previous prime is 71261258220643. The next prime is 71261258220709. The reversal of 71261258220708 is 80702285216217.

71261258220708 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (71261258220709) 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, 295506783 + ... + 295747833.

It is an arithmetic number, because the mean of its divisors is an integer number (1828697608640).

Almost surely, 271261258220708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71261258220708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87777485214720).

71261258220708 is an abundant number, since it is smaller than the sum of its proper divisors (104293712208732).

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

71261258220708 is a wasteful number, since it uses less digits than its factorization.

71261258220708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244977 (or 244975 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 71261258220708 in words is "seventy-one trillion, two hundred sixty-one billion, two hundred fifty-eight million, two hundred twenty thousand, seven hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 367 734 1101 1468 2202 3533 4404 6973 7066 10599 13946 14132 20919 21198 27892 41838 42396 67127 83676 134254 201381 241051 268508 402762 482102 723153 805524 964204 1296611 1446306 2593222 2892612 3889833 4579969 5186444 7779666 9159938 13739907 15559332 18319876 24635609 27479814 49271218 54959628 73906827 88465717 98542436 147813654 176931434 265397151 295627308 353862868 530794302 851633183 1061588604 1680848623 1703266366 2554899549 3361697246 3406532732 5042545869 5109799098 6723394492 10085091738 10219598196 16181030477 20170183476 32362060954 48543091431 64724121908 97086182862 194172365724 312549378161 625098756322 937648134483 1250197512644 1875296268966 3750592537932 5938438185059 11876876370118 17815314555177 23753752740236 35630629110354 71261258220708