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71115342064 = 24133773126583
BaseRepresentation
bin100001000111011001…
…1100000000011110000
320210120011001200112221
41002032303200003300
52131121011421224
652400412330424
75065206301534
oct1021663400360
9223504050487
1071115342064
1128183836078
1211948473a14
13692453a580
143628bc9bc4
151cb34c76e4
hex108ece00f0

71115342064 has 80 divisors (see below), whose sum is σ = 154484126272. Its totient is φ = 31497652224.

The previous prime is 71115342059. The next prime is 71115342097. The reversal of 71115342064 is 46024351117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498517 + ... + 625099.

Almost surely, 271115342064 is an apocalyptic number.

71115342064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71115342064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77242063136).

71115342064 is an abundant number, since it is smaller than the sum of its proper divisors (83368784208).

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

71115342064 is a wasteful number, since it uses less digits than its factorization.

71115342064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126714 (or 126708 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 71115342064 in words is "seventy-one billion, one hundred fifteen million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 73 74 104 146 148 208 292 296 481 584 592 949 962 1168 1898 1924 2701 3796 3848 5402 7592 7696 10804 15184 21608 35113 43216 70226 126583 140452 253166 280904 506332 561808 1012664 1645579 2025328 3291158 4683571 6582316 9240559 9367142 13164632 18481118 18734284 26329264 36962236 37468568 60886423 73924472 74937136 120127267 121772846 147848944 240254534 243545692 341900683 480509068 487091384 683801366 961018136 974182768 1367602732 1922036272 2735205464 4444708879 5470410928 8889417758 17778835516 35557671032 71115342064