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71341457168 = 2417312475807
BaseRepresentation
bin100001001110001001…
…0000011111100010000
320211010220112112011102
41002130102003330100
52132101403112133
652435051003532
75103623244332
oct1023422037420
9224126475142
1071341457168
112828a435763
12119b01395a8
13695c3394a7
14364ac49452
151cc828e7e8
hex109c483f10

71341457168 has 120 divisors (see below), whose sum is σ = 154472541696. Its totient is φ = 31792727040.

The previous prime is 71341457149. The next prime is 71341457179. The reversal of 71341457168 is 86175414317.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12282521 + ... + 12288327.

Almost surely, 271341457168 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 71341457168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77236270848).

71341457168 is an abundant number, since it is smaller than the sum of its proper divisors (83131084528).

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

71341457168 is a wasteful number, since it uses less digits than its factorization.

71341457168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5904 counting only the distinct ones).

The product of its digits is 564480, while the sum is 47.

The spelling of 71341457168 in words is "seventy-one billion, three hundred forty-one million, four hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 34 47 62 68 94 124 136 188 248 272 376 496 527 752 799 961 1054 1457 1598 1922 2108 2914 3196 3844 4216 5807 5828 6392 7688 8432 11614 11656 12784 15376 16337 23228 23312 24769 32674 45167 46456 49538 65348 90334 92912 98719 99076 130696 180017 180668 197438 198152 261392 272929 360034 361336 394876 396304 545858 720068 722672 767839 789752 1091716 1440136 1535678 1579504 2183432 2880272 3060289 3071356 4366864 4639793 5580527 6120578 6142712 8460799 9279586 11161054 12241156 12285424 16921598 18559172 22322108 24482312 33843196 37118344 44644216 48964624 67686392 74236688 89288432 94868959 135372784 143833583 189737918 262284769 287667166 379475836 524569538 575334332 758951672 1049139076 1150668664 1517903344 2098278152 2301337328 4196556304 4458841073 8917682146 17835364292 35670728584 71341457168