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71242210368 = 263376196553
BaseRepresentation
bin100001001011001011…
…1011101110001000000
320210212222210021011000
41002112113131301000
52131401001212433
652421143452000
75101306540140
oct1022627356100
9223788707130
1071242210368
112823940910a
1211982a57000
1369448ca784
14363b9b2920
151cbe6d8113
hex10965ddc40

71242210368 has 224 divisors, whose sum is σ = 243285182720. Its totient is φ = 20021022720.

The previous prime is 71242210321. The next prime is 71242210379. The reversal of 71242210368 is 86301224217.

It is a happy number.

71242210368 is a `hidden beast` number, since 71 + 2 + 4 + 221 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689580 + ... + 786132.

Almost surely, 271242210368 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 71242210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121642591360).

71242210368 is an abundant number, since it is smaller than the sum of its proper divisors (172042972352).

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

71242210368 is a wasteful number, since it uses less digits than its factorization.

71242210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96642 (or 96626 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71242210368 in words is "seventy-one billion, two hundred forty-two million, two hundred ten thousand, three hundred sixty-eight".