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71071226226 = 23671121319233
BaseRepresentation
bin100001000110000101…
…1001101100101110010
320210110002001101000000
41002030023031211302
52131023213214401
652352155010430
75064132312120
oct1021413154562
9223402041000
1071071226226
1128160944200
1211935739a16
136918362520
143622dc4910
151cae6b1186
hex108c2cd972

71071226226 has 672 divisors, whose sum is σ = 228589845120. Its totient is φ = 16073925120.

The previous prime is 71071226201. The next prime is 71071226227. The reversal of 71071226226 is 62262217017.

It is a happy number.

71071226226 is a `hidden beast` number, since 7 + 1 + 0 + 7 + 1 + 22 + 622 + 6 = 666.

It is a super-2 number, since 2×710712262262 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71071226227) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 305026606 + ... + 305026838.

It is an arithmetic number, because the mean of its divisors is an integer number (340163460).

Almost surely, 271071226226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71071226226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114294922560).

71071226226 is an abundant number, since it is smaller than the sum of its proper divisors (157518618894).

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

71071226226 is a wasteful number, since it uses less digits than its factorization.

71071226226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71071226226 in words is "seventy-one billion, seventy-one million, two hundred twenty-six thousand, two hundred twenty-six".