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71555256102752 = 25236712131196267
BaseRepresentation
bin10000010001010001000001…
…100111110010111101100000
3100101100121121211100202122022
4100101101001213302331200
533334330131030242002
6412104010355201012
721033460644262052
oct2021210147627540
9311317554322568
1071555256102752
11208884606a0334
128037a7a5a6168
1330c0829ab9ca6
14139541590b8d2
158414b2dc8ba2
hex4114419f2f60

71555256102752 has 96 divisors (see below), whose sum is σ = 149316525695232. Its totient is φ = 33683481874944.

The previous prime is 71555256102677. The next prime is 71555256102773. The reversal of 71555256102752 is 25720165255517.

It is a junction number, because it is equal to n+sod(n) for n = 71555256102694 and 71555256102703.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59217323 + ... + 60413589.

It is an arithmetic number, because the mean of its divisors is an integer number (1555380475992).

Almost surely, 271555256102752 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 71555256102752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74658262847616).

71555256102752 is an abundant number, since it is smaller than the sum of its proper divisors (77761269592480).

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

71555256102752 is a wasteful number, since it uses less digits than its factorization.

71555256102752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197580 (or 1197572 counting only the distinct ones).

The product of its (nonzero) digits is 7350000, while the sum is 53.

The spelling of 71555256102752 in words is "seventy-one trillion, five hundred fifty-five billion, two hundred fifty-six million, one hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1072 1213 1541 2144 2426 3082 4852 6164 9704 12328 19408 24656 27899 38816 49312 55798 81271 111596 162542 223192 325084 446384 650168 892768 1196267 1300336 1869233 2392534 2600672 3738466 4785068 7476932 9570136 14953864 19140272 27514141 29907728 38280544 55028282 59815456 80149889 110056564 160299778 220113128 320599556 440226256 641199112 880452512 1282398224 1451071871 1843447447 2564796448 2902143742 3686894894 5804287484 7373789788 11608574968 14747579576 23217149936 29495159152 33374653033 46434299872 58990318304 66749306066 97221815357 133498612132 194443630714 266997224264 388887261428 533994448528 777774522856 1067988897056 1555549045712 2236101753211 3111098091424 4472203506422 8944407012844 17888814025688 35777628051376 71555256102752