Search a number
-
+
71313336576 = 283319543017
BaseRepresentation
bin100001001101010011…
…0110010100100000000
320211001221121211222000
41002122212302210000
52132022203232301
652432204144000
75103132234156
oct1023246624400
9224057554860
1071313336576
11282755792a9
12119a2838000
136956571aa1
1436472093d6
151cc5a87786
hex109a9b2900

71313336576 has 144 divisors (see below), whose sum is σ = 221985758400. Its totient is φ = 22519959552.

The previous prime is 71313336571. The next prime is 71313336607. The reversal of 71313336576 is 67563331317.

71313336576 is a `hidden beast` number, since 7 + 13 + 1 + 33 + 36 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (71313336571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140181 + ... + 402836.

Almost surely, 271313336576 is an apocalyptic number.

71313336576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

71313336576 is an abundant number, since it is smaller than the sum of its proper divisors (150672421824).

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

71313336576 is a wasteful number, since it uses less digits than its factorization.

71313336576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543061 (or 543041 counting only the distinct ones).

The product of its digits is 714420, while the sum is 45.

The spelling of 71313336576 in words is "seventy-one billion, three hundred thirteen million, three hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 543017 1086034 1629051 2172068 3258102 4344136 4887153 6516204 8688272 9774306 10317323 13032408 14661459 17376544 19548612 20634646 26064816 29322918 30951969 34753088 39097224 41269292 52129632 58645836 61903938 69506176 78194448 82538584 92855907 104259264 117291672 123807876 139012352 156388896 165077168 185711814 208518528 234583344 247615752 278567721 312777792 330154336 371423628 417037056 469166688 495231504 557135442 625555584 660308672 742847256 938333376 990463008 1114270884 1251111168 1320617344 1485694512 1876666752 1980926016 2228541768 2641234688 2971389024 3753333504 3961852032 4457083536 5942778048 7923704064 8914167072 11885556096 17828334144 23771112192 35656668288 71313336576