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71643413871 = 3417375212699
BaseRepresentation
bin100001010111001000…
…1111011110101101111
320211220221201111220000
41002232101323311233
52133211203220441
652525034555343
75114250653511
oct1025621736557
9224827644800
1071643413871
1128424926257
1211a75298b53
1369a9a70ab3
143678dabbb1
151ce4a382b6
hex10ae47bd6f

71643413871 has 80 divisors (see below), whose sum is σ = 116647581600. Its totient is φ = 43637667840.

The previous prime is 71643413861. The next prime is 71643413923. The reversal of 71643413871 is 17831434617.

71643413871 is a `hidden beast` number, since 7 + 16 + 434 + 138 + 71 = 666.

It is not a de Polignac number, because 71643413871 - 214 = 71643397487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71643413801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26543080 + ... + 26545778.

It is an arithmetic number, because the mean of its divisors is an integer number (1458094770).

Almost surely, 271643413871 is an apocalyptic number.

71643413871 is a deficient number, since it is larger than the sum of its proper divisors (45004167729).

71643413871 is a wasteful number, since it uses less digits than its factorization.

71643413871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3277 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 71643413871 in words is "seventy-one billion, six hundred forty-three million, four hundred thirteen thousand, eight hundred seventy-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 521 629 999 1377 1563 1887 2699 2997 4689 5661 8097 8857 14067 16983 19277 24291 26571 42201 45883 50949 57831 72873 79713 99863 137649 173493 218619 239139 299589 327709 412947 520479 717417 898767 983127 1238841 1406179 1561437 1697671 2696301 2949381 3716523 4218537 5093013 8088903 8848143 12655611 15279039 23905043 26544429 37966833 45837117 52028623 71715129 113900499 137511351 156085869 215145387 468257607 645436161 884486591 1404772821 1936308483 2653459773 4214318463 7960379319 23881137957 71643413871