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71245471464 = 23321999152553
BaseRepresentation
bin100001001011010001…
…1111001111011101000
320210220012220221112100
41002112203321323220
52131402320041324
652421341413400
75101346341536
oct1022643717350
9223805827470
1071245471464
1128240236232
1211983b6a260
13694549cc0b
14363c1c1156
151cbeb2e4c9
hex10968f9ee8

71245471464 has 96 divisors (see below), whose sum is σ = 203320915200. Its totient is φ = 22475439360.

The previous prime is 71245471463. The next prime is 71245471477. The reversal of 71245471464 is 46417454217.

71245471464 is a `hidden beast` number, since 71 + 2 + 4 + 54 + 71 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (71245471463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329412 + ... + 1381964.

It is an arithmetic number, because the mean of its divisors is an integer number (2117926200).

Almost surely, 271245471464 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 71245471464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101660457600).

71245471464 is an abundant number, since it is smaller than the sum of its proper divisors (132075443736).

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

71245471464 is a wasteful number, since it uses less digits than its factorization.

71245471464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53575 (or 53568 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 71245471464 in words is "seventy-one billion, two hundred forty-five million, four hundred seventy-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 991 1368 1982 2973 3964 5946 7928 8919 11892 17838 18829 23784 35676 37658 52553 56487 71352 75316 105106 112974 150632 157659 169461 210212 225948 315318 338922 420424 451896 472977 630636 677844 945954 998507 1261272 1355688 1891908 1997014 2995521 3783816 3994028 5991042 7988056 8986563 11982084 17973126 23964168 35946252 52080023 71892504 104160046 156240069 208320092 312480138 416640184 468720207 624960276 937440414 989520437 1249920552 1874880828 1979040874 2968561311 3749761656 3958081748 5937122622 7916163496 8905683933 11874245244 17811367866 23748490488 35622735732 71245471464