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71312170304 = 261032127827
BaseRepresentation
bin100001001101010001…
…0010101110101000000
320211001212102121010202
41002122202111311000
52132021403422204
652432123144332
75103116306024
oct1023242256500
9224055377122
1071312170304
1128274952041
12119a23750a8
136956253c9b
143646dc4384
151cc5906e1e
hex109a895d40

71312170304 has 84 divisors (see below), whose sum is σ = 144196637184. Its totient is φ = 34989518592.

The previous prime is 71312170297. The next prime is 71312170351. The reversal of 71312170304 is 40307121317.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86229539 + ... + 86230365.

Almost surely, 271312170304 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 71312170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72098318592).

71312170304 is an abundant number, since it is smaller than the sum of its proper divisors (72884466880).

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

71312170304 is a wasteful number, since it uses less digits than its factorization.

71312170304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 71312170304 in words is "seventy-one billion, three hundred twelve million, one hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 103 127 206 254 412 508 824 827 1016 1648 1654 2032 3296 3308 4064 6592 6616 8128 10609 13081 13232 21218 26162 26464 42436 52324 52928 84872 85181 104648 105029 169744 170362 209296 210058 339488 340724 418592 420116 678976 681448 837184 840232 1347343 1362896 1680464 2694686 2725792 3360928 5389372 5451584 6721856 8773643 10778744 10817987 17547286 21557488 21635974 35094572 43114976 43271948 70189144 86229952 86543896 140378288 173087792 280756576 346175584 561513152 692351168 1114252661 2228505322 4457010644 8914021288 17828042576 35656085152 71312170304