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71495272996 = 22727122692
BaseRepresentation
bin100001010010101110…
…0110100101000100100
320211112121222011210221
41002211130310220210
52132410242213441
652502223454124
75110501536100
oct1024534645044
9224477864727
1071495272996
1128359243884
1211a33757344
136985173184
143663448900
151cd6a248d1
hex10a5734a24

71495272996 has 81 divisors (see below), whose sum is σ = 148173558897. Its totient is φ = 30096968160.

The previous prime is 71495272993. The next prime is 71495273039. The reversal of 71495272996 is 69927259417.

The square root of 71495272996 is 267386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4704039396 + 66791233600 = 68586^2 + 258440^2 .

It is a super-2 number, since 2×714952729962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71495272993) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265781550 + ... + 265781818.

Almost surely, 271495272996 is an apocalyptic number.

71495272996 is the 267386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71495272996

71495272996 is an abundant number, since it is smaller than the sum of its proper divisors (76678285901).

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

71495272996 is an equidigital number, since it uses as much as digits as its factorization.

71495272996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 61.

The spelling of 71495272996 in words is "seventy-one billion, four hundred ninety-five million, two hundred seventy-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 269 284 497 538 994 1076 1883 1988 3479 3766 5041 6958 7532 10082 13181 13916 19099 20164 26362 35287 38198 52724 70574 72361 76396 133693 141148 144722 247009 267386 289444 494018 506527 534772 935851 988036 1013054 1356029 1871702 2026108 2712058 3545689 3743404 5137631 5424116 7091378 9492203 10275262 14182756 18984406 20550524 35963417 37968812 66445421 71926834 132890842 143853668 251743919 265781684 364771801 503487838 729543602 1006975676 1459087204 2553402607 5106805214 10213610428 17873818249 35747636498 71495272996