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71146737984 = 2637311707631
BaseRepresentation
bin100001001000010101…
…1010001000101000000
320210122100010202122210
41002100223101011000
52131202031103414
652403453302120
75066040203040
oct1022053210500
9223570122583
1071146737984
112819a52a313
1211956a94940
13692abb0a3a
14362d03d720
151cb6129e59
hex1090ad1140

71146737984 has 112 divisors (see below), whose sum is σ = 222074126336. Its totient is φ = 19671897600.

The previous prime is 71146737929. The next prime is 71146738073. The reversal of 71146737984 is 48973764117.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812152 + ... + 895479.

Almost surely, 271146737984 is an apocalyptic number.

It is an amenable number.

71146737984 is an abundant number, since it is smaller than the sum of its proper divisors (150927388352).

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

71146737984 is a wasteful number, since it uses less digits than its factorization.

71146737984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707684 (or 1707674 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The spelling of 71146737984 in words is "seventy-one billion, one hundred forty-six million, seven hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 1707631 3415262 5122893 6830524 10245786 11953417 13661048 20491572 23906834 27322096 35860251 40983144 47813668 52936561 54644192 71720502 81966288 95627336 105873122 109288384 143441004 158809683 163932576 191254672 211746244 286882008 317619366 327865152 370555927 382509344 423492488 573764016 635238732 741111854 765018688 846984976 1111667781 1147528032 1270477464 1482223708 1693969952 2223335562 2295056064 2540954928 2964447416 3387939904 4446671124 5081909856 5928894832 8893342248 10163819712 11857789664 17786684496 23715579328 35573368992 71146737984